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Finding the Fourth Proportional to 8,524.60, 12,762.60 and 8,281.60

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Solution

The fourth proportional to 8,524.60, 12,762.60 and 8,281.60 is: 12,398.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.60 : 12,762.60 = 8,281.60 : x
  2. Step 2: Convert to fraction form
    8,524.60/12,762.60 = 8,281.60/x
  3. Step 3: Cross multiply
    8,524.60x = 12,762.60 × 8,281.60
  4. Step 4: Simplify right side
    8,524.60x = 105,694,748.16
  5. Step 5: Solve for x
    x = 105,694,748.16/8,524.60
  6. Step 6: Final answer
    x = 12,398.79

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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.