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Finding the Fourth Proportional to 6,029.54, 9,044.31 and 1,647.14

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Solution

The fourth proportional to 6,029.54, 9,044.31 and 1,647.14 is: 2,470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.54 : 9,044.31 = 1,647.14 : x
  2. Step 2: Convert to fraction form
    6,029.54/9,044.31 = 1,647.14/x
  3. Step 3: Cross multiply
    6,029.54x = 9,044.31 × 1,647.14
  4. Step 4: Simplify right side
    6,029.54x = 14,897,244.77
  5. Step 5: Solve for x
    x = 14,897,244.77/6,029.54
  6. Step 6: Final answer
    x = 2,470.71

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Double scale
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Similar ratio
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1.5x scale

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.