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Finding the Fourth Proportional to 6,031.52, 9,041.77 and 4,469.64

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Solution

The fourth proportional to 6,031.52, 9,041.77 and 4,469.64 is: 6,700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.52 : 9,041.77 = 4,469.64 : x
  2. Step 2: Convert to fraction form
    6,031.52/9,041.77 = 4,469.64/x
  3. Step 3: Cross multiply
    6,031.52x = 9,041.77 × 4,469.64
  4. Step 4: Simplify right side
    6,031.52x = 40,413,456.86
  5. Step 5: Solve for x
    x = 40,413,456.86/6,031.52
  6. Step 6: Final answer
    x = 6,700.38

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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.