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Finding the Fourth Proportional to 6,998.43, 9,657.48 and 3,854.55

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Solution

The fourth proportional to 6,998.43, 9,657.48 and 3,854.55 is: 5,319.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.43 : 9,657.48 = 3,854.55 : x
  2. Step 2: Convert to fraction form
    6,998.43/9,657.48 = 3,854.55/x
  3. Step 3: Cross multiply
    6,998.43x = 9,657.48 × 3,854.55
  4. Step 4: Simplify right side
    6,998.43x = 37,225,239.53
  5. Step 5: Solve for x
    x = 37,225,239.53/6,998.43
  6. Step 6: Final answer
    x = 5,319.08

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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.