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Finding the Fourth Proportional to 6,545.98, 9,815.24 and 4,468.49

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Solution

The fourth proportional to 6,545.98, 9,815.24 and 4,468.49 is: 6,700.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.98 : 9,815.24 = 4,468.49 : x
  2. Step 2: Convert to fraction form
    6,545.98/9,815.24 = 4,468.49/x
  3. Step 3: Cross multiply
    6,545.98x = 9,815.24 × 4,468.49
  4. Step 4: Simplify right side
    6,545.98x = 43,859,301.79
  5. Step 5: Solve for x
    x = 43,859,301.79/6,545.98
  6. Step 6: Final answer
    x = 6,700.19

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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.