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Finding the Fourth Proportional to 6,057.55, 9,086.31 and 1,615.66

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Solution

The fourth proportional to 6,057.55, 9,086.31 and 1,615.66 is: 2,423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.55 : 9,086.31 = 1,615.66 : x
  2. Step 2: Convert to fraction form
    6,057.55/9,086.31 = 1,615.66/x
  3. Step 3: Cross multiply
    6,057.55x = 9,086.31 × 1,615.66
  4. Step 4: Simplify right side
    6,057.55x = 14,680,387.61
  5. Step 5: Solve for x
    x = 14,680,387.61/6,057.55
  6. Step 6: Final answer
    x = 2,423.49

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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.