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Finding the Fourth Proportional to 9,645.92, 13,318.92 and 7,404.24

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Solution

The fourth proportional to 9,645.92, 13,318.92 and 7,404.24 is: 10,223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.92 : 13,318.92 = 7,404.24 : x
  2. Step 2: Convert to fraction form
    9,645.92/13,318.92 = 7,404.24/x
  3. Step 3: Cross multiply
    9,645.92x = 13,318.92 × 7,404.24
  4. Step 4: Simplify right side
    9,645.92x = 98,616,443.20
  5. Step 5: Solve for x
    x = 98,616,443.20/9,645.92
  6. Step 6: Final answer
    x = 10,223.65

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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.