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Finding the Fourth Proportional to 7,217.28, 9,948.96 and 5,642.64

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Solution

The fourth proportional to 7,217.28, 9,948.96 and 5,642.64 is: 7,778.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,217.28 : 9,948.96 = 5,642.64 : x
  2. Step 2: Convert to fraction form
    7,217.28/9,948.96 = 5,642.64/x
  3. Step 3: Cross multiply
    7,217.28x = 9,948.96 × 5,642.64
  4. Step 4: Simplify right side
    7,217.28x = 56,138,399.65
  5. Step 5: Solve for x
    x = 56,138,399.65/7,217.28
  6. Step 6: Final answer
    x = 7,778.33

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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.