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Finding the Fourth Proportional to 5,686.97, 7,848.48 and 3,169.90

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Solution

The fourth proportional to 5,686.97, 7,848.48 and 3,169.90 is: 4,374.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.97 : 7,848.48 = 3,169.90 : x
  2. Step 2: Convert to fraction form
    5,686.97/7,848.48 = 3,169.90/x
  3. Step 3: Cross multiply
    5,686.97x = 7,848.48 × 3,169.90
  4. Step 4: Simplify right side
    5,686.97x = 24,878,841.66
  5. Step 5: Solve for x
    x = 24,878,841.66/5,686.97
  6. Step 6: Final answer
    x = 4,374.71

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1.5x scale

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.