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Finding the Fourth Proportional to 8,473.86, 12,698.49 and 6,013.47

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Solution

The fourth proportional to 8,473.86, 12,698.49 and 6,013.47 is: 9,011.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,473.86 : 12,698.49 = 6,013.47 : x
  2. Step 2: Convert to fraction form
    8,473.86/12,698.49 = 6,013.47/x
  3. Step 3: Cross multiply
    8,473.86x = 12,698.49 × 6,013.47
  4. Step 4: Simplify right side
    8,473.86x = 76,361,988.66
  5. Step 5: Solve for x
    x = 76,361,988.66/8,473.86
  6. Step 6: Final answer
    x = 9,011.48

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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.