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Finding the Fourth Proportional to 11,894.52, 17,753.25 and 10,306.14

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Solution

The fourth proportional to 11,894.52, 17,753.25 and 10,306.14 is: 15,382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.52 : 17,753.25 = 10,306.14 : x
  2. Step 2: Convert to fraction form
    11,894.52/17,753.25 = 10,306.14/x
  3. Step 3: Cross multiply
    11,894.52x = 17,753.25 × 10,306.14
  4. Step 4: Simplify right side
    11,894.52x = 182,967,479.96
  5. Step 5: Solve for x
    x = 182,967,479.96/11,894.52
  6. Step 6: Final answer
    x = 15,382.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.