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Finding the Fourth Proportional to 6,272, 9,407.70 and 1,592.14

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Solution

The fourth proportional to 6,272, 9,407.70 and 1,592.14 is: 2,388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272 : 9,407.70 = 1,592.14 : x
  2. Step 2: Convert to fraction form
    6,272/9,407.70 = 1,592.14/x
  3. Step 3: Cross multiply
    6,272x = 9,407.70 × 1,592.14
  4. Step 4: Simplify right side
    6,272x = 14,978,375.48
  5. Step 5: Solve for x
    x = 14,978,375.48/6,272
  6. Step 6: Final answer
    x = 2,388.13

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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.