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Finding the Fourth Proportional to 6,042.74, 9,064 and 2,484.11

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Solution

The fourth proportional to 6,042.74, 9,064 and 2,484.11 is: 3,726.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,042.74 : 9,064 = 2,484.11 : x
  2. Step 2: Convert to fraction form
    6,042.74/9,064 = 2,484.11/x
  3. Step 3: Cross multiply
    6,042.74x = 9,064 × 2,484.11
  4. Step 4: Simplify right side
    6,042.74x = 22,515,973.04
  5. Step 5: Solve for x
    x = 22,515,973.04/6,042.74
  6. Step 6: Final answer
    x = 3,726.12

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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.