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Finding the Fourth Proportional to 10,065.96, 15,098.94 and 3,141

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Solution

The fourth proportional to 10,065.96, 15,098.94 and 3,141 is: 4,711.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.96 : 15,098.94 = 3,141 : x
  2. Step 2: Convert to fraction form
    10,065.96/15,098.94 = 3,141/x
  3. Step 3: Cross multiply
    10,065.96x = 15,098.94 × 3,141
  4. Step 4: Simplify right side
    10,065.96x = 47,425,770.54
  5. Step 5: Solve for x
    x = 47,425,770.54/10,065.96
  6. Step 6: Final answer
    x = 4,711.50

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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.