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Finding the Fourth Proportional to 10,398.48, 15,587.88 and 3,468

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Solution

The fourth proportional to 10,398.48, 15,587.88 and 3,468 is: 5,198.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.48 : 15,587.88 = 3,468 : x
  2. Step 2: Convert to fraction form
    10,398.48/15,587.88 = 3,468/x
  3. Step 3: Cross multiply
    10,398.48x = 15,587.88 × 3,468
  4. Step 4: Simplify right side
    10,398.48x = 54,058,767.84
  5. Step 5: Solve for x
    x = 54,058,767.84/10,398.48
  6. Step 6: Final answer
    x = 5,198.72

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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.