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Finding the Fourth Proportional to 6,049.48, 9,073.12 and 1,666

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Solution

The fourth proportional to 6,049.48, 9,073.12 and 1,666 is: 2,498.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.48 : 9,073.12 = 1,666 : x
  2. Step 2: Convert to fraction form
    6,049.48/9,073.12 = 1,666/x
  3. Step 3: Cross multiply
    6,049.48x = 9,073.12 × 1,666
  4. Step 4: Simplify right side
    6,049.48x = 15,115,817.92
  5. Step 5: Solve for x
    x = 15,115,817.92/6,049.48
  6. Step 6: Final answer
    x = 2,498.70

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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.