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Finding the Fourth Proportional to 8,456.64, 12,650.40 and 7,074.24

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Solution

The fourth proportional to 8,456.64, 12,650.40 and 7,074.24 is: 10,582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.64 : 12,650.40 = 7,074.24 : x
  2. Step 2: Convert to fraction form
    8,456.64/12,650.40 = 7,074.24/x
  3. Step 3: Cross multiply
    8,456.64x = 12,650.40 × 7,074.24
  4. Step 4: Simplify right side
    8,456.64x = 89,491,965.70
  5. Step 5: Solve for x
    x = 89,491,965.70/8,456.64
  6. Step 6: Final answer
    x = 10,582.45

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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.