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Finding the Fourth Proportional to 9,585.60, 13,220.46 and 7,341.90

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Solution

The fourth proportional to 9,585.60, 13,220.46 and 7,341.90 is: 10,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.60 : 13,220.46 = 7,341.90 : x
  2. Step 2: Convert to fraction form
    9,585.60/13,220.46 = 7,341.90/x
  3. Step 3: Cross multiply
    9,585.60x = 13,220.46 × 7,341.90
  4. Step 4: Simplify right side
    9,585.60x = 97,063,295.27
  5. Step 5: Solve for x
    x = 97,063,295.27/9,585.60
  6. Step 6: Final answer
    x = 10,125.95

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Half scale
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Double scale
Find fourth proportional to 9,586.60, 13,221.84 and 7,342.90
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.