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Finding the Fourth Proportional to 10,642.56, 15,958.17 and 4,064.97

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Solution

The fourth proportional to 10,642.56, 15,958.17 and 4,064.97 is: 6,095.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.56 : 15,958.17 = 4,064.97 : x
  2. Step 2: Convert to fraction form
    10,642.56/15,958.17 = 4,064.97/x
  3. Step 3: Cross multiply
    10,642.56x = 15,958.17 × 4,064.97
  4. Step 4: Simplify right side
    10,642.56x = 64,869,482.30
  5. Step 5: Solve for x
    x = 64,869,482.30/10,642.56
  6. Step 6: Final answer
    x = 6,095.29

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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.