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Finding the Fourth Proportional to 6,335.20, 9,502.80 and 4,002.40

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Solution

The fourth proportional to 6,335.20, 9,502.80 and 4,002.40 is: 6,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.20 : 9,502.80 = 4,002.40 : x
  2. Step 2: Convert to fraction form
    6,335.20/9,502.80 = 4,002.40/x
  3. Step 3: Cross multiply
    6,335.20x = 9,502.80 × 4,002.40
  4. Step 4: Simplify right side
    6,335.20x = 38,034,006.72
  5. Step 5: Solve for x
    x = 38,034,006.72/6,335.20
  6. Step 6: Final answer
    x = 6,003.60

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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.