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Finding the Fourth Proportional to 6,998, 9,657.24 and 3,854.40

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Solution

The fourth proportional to 6,998, 9,657.24 and 3,854.40 is: 5,319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998 : 9,657.24 = 3,854.40 : x
  2. Step 2: Convert to fraction form
    6,998/9,657.24 = 3,854.40/x
  3. Step 3: Cross multiply
    6,998x = 9,657.24 × 3,854.40
  4. Step 4: Simplify right side
    6,998x = 37,222,865.86
  5. Step 5: Solve for x
    x = 37,222,865.86/6,998
  6. Step 6: Final answer
    x = 5,319.07

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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.