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Finding the Fourth Proportional to 6,884.64, 9,496.58 and 6,002.55

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Solution

The fourth proportional to 6,884.64, 9,496.58 and 6,002.55 is: 8,279.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.64 : 9,496.58 = 6,002.55 : x
  2. Step 2: Convert to fraction form
    6,884.64/9,496.58 = 6,002.55/x
  3. Step 3: Cross multiply
    6,884.64x = 9,496.58 × 6,002.55
  4. Step 4: Simplify right side
    6,884.64x = 57,003,666.27
  5. Step 5: Solve for x
    x = 57,003,666.27/6,884.64
  6. Step 6: Final answer
    x = 8,279.83

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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.