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Finding the Fourth Proportional to 6,432.09, 9,657.60 and 3,959.70

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Solution

The fourth proportional to 6,432.09, 9,657.60 and 3,959.70 is: 5,945.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.09 : 9,657.60 = 3,959.70 : x
  2. Step 2: Convert to fraction form
    6,432.09/9,657.60 = 3,959.70/x
  3. Step 3: Cross multiply
    6,432.09x = 9,657.60 × 3,959.70
  4. Step 4: Simplify right side
    6,432.09x = 38,241,198.72
  5. Step 5: Solve for x
    x = 38,241,198.72/6,432.09
  6. Step 6: Final answer
    x = 5,945.38

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1.5x scale

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.