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Finding the Fourth Proportional to 6,301.96, 9,432.74 and 4,188.74

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Solution

The fourth proportional to 6,301.96, 9,432.74 and 4,188.74 is: 6,269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.96 : 9,432.74 = 4,188.74 : x
  2. Step 2: Convert to fraction form
    6,301.96/9,432.74 = 4,188.74/x
  3. Step 3: Cross multiply
    6,301.96x = 9,432.74 × 4,188.74
  4. Step 4: Simplify right side
    6,301.96x = 39,511,227.24
  5. Step 5: Solve for x
    x = 39,511,227.24/6,301.96
  6. Step 6: Final answer
    x = 6,269.68

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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.