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Finding the Fourth Proportional to 9,205.85, 12,711.56 and 7,504.62

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Solution

The fourth proportional to 9,205.85, 12,711.56 and 7,504.62 is: 10,362.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.85 : 12,711.56 = 7,504.62 : x
  2. Step 2: Convert to fraction form
    9,205.85/12,711.56 = 7,504.62/x
  3. Step 3: Cross multiply
    9,205.85x = 12,711.56 × 7,504.62
  4. Step 4: Simplify right side
    9,205.85x = 95,395,389.88
  5. Step 5: Solve for x
    x = 95,395,389.88/9,205.85
  6. Step 6: Final answer
    x = 10,362.48

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Half scale
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Double scale
Find fourth proportional to 9,206.85, 12,712.94 and 7,505.62
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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.