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Finding the Fourth Proportional to 6,452.64, 8,908.92 and 5,752.80

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Solution

The fourth proportional to 6,452.64, 8,908.92 and 5,752.80 is: 7,942.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.64 : 8,908.92 = 5,752.80 : x
  2. Step 2: Convert to fraction form
    6,452.64/8,908.92 = 5,752.80/x
  3. Step 3: Cross multiply
    6,452.64x = 8,908.92 × 5,752.80
  4. Step 4: Simplify right side
    6,452.64x = 51,251,234.98
  5. Step 5: Solve for x
    x = 51,251,234.98/6,452.64
  6. Step 6: Final answer
    x = 7,942.68

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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.