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Finding the Fourth Proportional to 6,029.56, 9,044.24 and 1,647.00

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Solution

The fourth proportional to 6,029.56, 9,044.24 and 1,647.00 is: 2,470.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.56 : 9,044.24 = 1,647.00 : x
  2. Step 2: Convert to fraction form
    6,029.56/9,044.24 = 1,647.00/x
  3. Step 3: Cross multiply
    6,029.56x = 9,044.24 × 1,647.00
  4. Step 4: Simplify right side
    6,029.56x = 14,895,821.13
  5. Step 5: Solve for x
    x = 14,895,821.13/6,029.56
  6. Step 6: Final answer
    x = 2,470.47

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Double scale
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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.