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Finding the Fourth Proportional to 6,630.13, 9,149.52 and 3,646

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Solution

The fourth proportional to 6,630.13, 9,149.52 and 3,646 is: 5,031.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,630.13 : 9,149.52 = 3,646 : x
  2. Step 2: Convert to fraction form
    6,630.13/9,149.52 = 3,646/x
  3. Step 3: Cross multiply
    6,630.13x = 9,149.52 × 3,646
  4. Step 4: Simplify right side
    6,630.13x = 33,359,149.92
  5. Step 5: Solve for x
    x = 33,359,149.92/6,630.13
  6. Step 6: Final answer
    x = 5,031.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.