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Finding the Fourth Proportional to 11,874.42, 16,385.82 and 6,569.16

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Solution

The fourth proportional to 11,874.42, 16,385.82 and 6,569.16 is: 9,064.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.42 : 16,385.82 = 6,569.16 : x
  2. Step 2: Convert to fraction form
    11,874.42/16,385.82 = 6,569.16/x
  3. Step 3: Cross multiply
    11,874.42x = 16,385.82 × 6,569.16
  4. Step 4: Simplify right side
    11,874.42x = 107,641,073.31
  5. Step 5: Solve for x
    x = 107,641,073.31/11,874.42
  6. Step 6: Final answer
    x = 9,064.95

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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.