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Finding the Fourth Proportional to 11,874.70, 16,387.08 and 6,569.52

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Solution

The fourth proportional to 11,874.70, 16,387.08 and 6,569.52 is: 9,065.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.70 : 16,387.08 = 6,569.52 : x
  2. Step 2: Convert to fraction form
    11,874.70/16,387.08 = 6,569.52/x
  3. Step 3: Cross multiply
    11,874.70x = 16,387.08 × 6,569.52
  4. Step 4: Simplify right side
    11,874.70x = 107,655,163.71
  5. Step 5: Solve for x
    x = 107,655,163.71/11,874.70
  6. Step 6: Final answer
    x = 9,065.93

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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.