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Finding the Fourth Proportional to 11,838.68, 17,761.10 and 9,733.78

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Solution

The fourth proportional to 11,838.68, 17,761.10 and 9,733.78 is: 14,603.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.68 : 17,761.10 = 9,733.78 : x
  2. Step 2: Convert to fraction form
    11,838.68/17,761.10 = 9,733.78/x
  3. Step 3: Cross multiply
    11,838.68x = 17,761.10 × 9,733.78
  4. Step 4: Simplify right side
    11,838.68x = 172,882,502.48
  5. Step 5: Solve for x
    x = 172,882,502.48/11,838.68
  6. Step 6: Final answer
    x = 14,603.19

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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.