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Finding the Fourth Proportional to 9,706.60, 14,559.90 and 6,596.20

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Solution

The fourth proportional to 9,706.60, 14,559.90 and 6,596.20 is: 9,894.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.60 : 14,559.90 = 6,596.20 : x
  2. Step 2: Convert to fraction form
    9,706.60/14,559.90 = 6,596.20/x
  3. Step 3: Cross multiply
    9,706.60x = 14,559.90 × 6,596.20
  4. Step 4: Simplify right side
    9,706.60x = 96,040,012.38
  5. Step 5: Solve for x
    x = 96,040,012.38/9,706.60
  6. Step 6: Final answer
    x = 9,894.30

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.