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Finding the Fourth Proportional to 6,029.84, 9,044.65 and 1,647.28

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Solution

The fourth proportional to 6,029.84, 9,044.65 and 1,647.28 is: 2,470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.84 : 9,044.65 = 1,647.28 : x
  2. Step 2: Convert to fraction form
    6,029.84/9,044.65 = 1,647.28/x
  3. Step 3: Cross multiply
    6,029.84x = 9,044.65 × 1,647.28
  4. Step 4: Simplify right side
    6,029.84x = 14,899,071.05
  5. Step 5: Solve for x
    x = 14,899,071.05/6,029.84
  6. Step 6: Final answer
    x = 2,470.89

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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.