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Finding the Fourth Proportional to 8,562.60, 12,856.05 and 5,282.10

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Solution

The fourth proportional to 8,562.60, 12,856.05 and 5,282.10 is: 7,930.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.60 : 12,856.05 = 5,282.10 : x
  2. Step 2: Convert to fraction form
    8,562.60/12,856.05 = 5,282.10/x
  3. Step 3: Cross multiply
    8,562.60x = 12,856.05 × 5,282.10
  4. Step 4: Simplify right side
    8,562.60x = 67,906,941.71
  5. Step 5: Solve for x
    x = 67,906,941.71/8,562.60
  6. Step 6: Final answer
    x = 7,930.65

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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.