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Finding the Fourth Proportional to 16,324.97, 24,473.10 and 6,471.17

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Solution

The fourth proportional to 16,324.97, 24,473.10 and 6,471.17 is: 9,701.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,324.97 : 24,473.10 = 6,471.17 : x
  2. Step 2: Convert to fraction form
    16,324.97/24,473.10 = 6,471.17/x
  3. Step 3: Cross multiply
    16,324.97x = 24,473.10 × 6,471.17
  4. Step 4: Simplify right side
    16,324.97x = 158,369,590.53
  5. Step 5: Solve for x
    x = 158,369,590.53/16,324.97
  6. Step 6: Final answer
    x = 9,701.06

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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.