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Finding the Fourth Proportional to 5,413.92, 7,472.16 and 5,167.68

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Solution

The fourth proportional to 5,413.92, 7,472.16 and 5,167.68 is: 7,132.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.92 : 7,472.16 = 5,167.68 : x
  2. Step 2: Convert to fraction form
    5,413.92/7,472.16 = 5,167.68/x
  3. Step 3: Cross multiply
    5,413.92x = 7,472.16 × 5,167.68
  4. Step 4: Simplify right side
    5,413.92x = 38,613,731.79
  5. Step 5: Solve for x
    x = 38,613,731.79/5,413.92
  6. Step 6: Final answer
    x = 7,132.31

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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.