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Finding the Fourth Proportional to 6,042, 9,064.30 and 1,881.92

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Solution

The fourth proportional to 6,042, 9,064.30 and 1,881.92 is: 2,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,042 : 9,064.30 = 1,881.92 : x
  2. Step 2: Convert to fraction form
    6,042/9,064.30 = 1,881.92/x
  3. Step 3: Cross multiply
    6,042x = 9,064.30 × 1,881.92
  4. Step 4: Simplify right side
    6,042x = 17,058,287.46
  5. Step 5: Solve for x
    x = 17,058,287.46/6,042
  6. Step 6: Final answer
    x = 2,823.28

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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.