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Finding the Fourth Proportional to 10,134, 15,201 and 2,737.89

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Solution

The fourth proportional to 10,134, 15,201 and 2,737.89 is: 4,106.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,134 : 15,201 = 2,737.89 : x
  2. Step 2: Convert to fraction form
    10,134/15,201 = 2,737.89/x
  3. Step 3: Cross multiply
    10,134x = 15,201 × 2,737.89
  4. Step 4: Simplify right side
    10,134x = 41,618,665.89
  5. Step 5: Solve for x
    x = 41,618,665.89/10,134
  6. Step 6: Final answer
    x = 4,106.84

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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.