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Finding the Fourth Proportional to 6,335.98, 8,731.47 and 4,469.74

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Solution

The fourth proportional to 6,335.98, 8,731.47 and 4,469.74 is: 6,159.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.98 : 8,731.47 = 4,469.74 : x
  2. Step 2: Convert to fraction form
    6,335.98/8,731.47 = 4,469.74/x
  3. Step 3: Cross multiply
    6,335.98x = 8,731.47 × 4,469.74
  4. Step 4: Simplify right side
    6,335.98x = 39,027,400.72
  5. Step 5: Solve for x
    x = 39,027,400.72/6,335.98
  6. Step 6: Final answer
    x = 6,159.65

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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.