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Finding the Fourth Proportional to 6,884.80, 9,496.78 and 6,002.71

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Solution

The fourth proportional to 6,884.80, 9,496.78 and 6,002.71 is: 8,280.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.80 : 9,496.78 = 6,002.71 : x
  2. Step 2: Convert to fraction form
    6,884.80/9,496.78 = 6,002.71/x
  3. Step 3: Cross multiply
    6,884.80x = 9,496.78 × 6,002.71
  4. Step 4: Simplify right side
    6,884.80x = 57,006,416.27
  5. Step 5: Solve for x
    x = 57,006,416.27/6,884.80
  6. Step 6: Final answer
    x = 8,280.04

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1.5x scale

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.