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Finding the Fourth Proportional to 6,337.92, 9,498.59 and 3,409.92

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Solution

The fourth proportional to 6,337.92, 9,498.59 and 3,409.92 is: 5,110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.92 : 9,498.59 = 3,409.92 : x
  2. Step 2: Convert to fraction form
    6,337.92/9,498.59 = 3,409.92/x
  3. Step 3: Cross multiply
    6,337.92x = 9,498.59 × 3,409.92
  4. Step 4: Simplify right side
    6,337.92x = 32,389,432.01
  5. Step 5: Solve for x
    x = 32,389,432.01/6,337.92
  6. Step 6: Final answer
    x = 5,110.42

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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.