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Finding the Fourth Proportional to 10,954.56, 15,098.88 and 8,301.12

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Solution

The fourth proportional to 10,954.56, 15,098.88 and 8,301.12 is: 11,441.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.56 : 15,098.88 = 8,301.12 : x
  2. Step 2: Convert to fraction form
    10,954.56/15,098.88 = 8,301.12/x
  3. Step 3: Cross multiply
    10,954.56x = 15,098.88 × 8,301.12
  4. Step 4: Simplify right side
    10,954.56x = 125,337,614.75
  5. Step 5: Solve for x
    x = 125,337,614.75/10,954.56
  6. Step 6: Final answer
    x = 11,441.59

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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.