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Finding the Fourth Proportional to 10,044.38, 13,856.79 and 7,062.14

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Solution

The fourth proportional to 10,044.38, 13,856.79 and 7,062.14 is: 9,742.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,044.38 : 13,856.79 = 7,062.14 : x
  2. Step 2: Convert to fraction form
    10,044.38/13,856.79 = 7,062.14/x
  3. Step 3: Cross multiply
    10,044.38x = 13,856.79 × 7,062.14
  4. Step 4: Simplify right side
    10,044.38x = 97,858,590.93
  5. Step 5: Solve for x
    x = 97,858,590.93/10,044.38
  6. Step 6: Final answer
    x = 9,742.62

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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.