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Finding the Fourth Proportional to 8,262.96, 12,365.61 and 6,764.88

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Solution

The fourth proportional to 8,262.96, 12,365.61 and 6,764.88 is: 10,123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.96 : 12,365.61 = 6,764.88 : x
  2. Step 2: Convert to fraction form
    8,262.96/12,365.61 = 6,764.88/x
  3. Step 3: Cross multiply
    8,262.96x = 12,365.61 × 6,764.88
  4. Step 4: Simplify right side
    8,262.96x = 83,651,867.78
  5. Step 5: Solve for x
    x = 83,651,867.78/8,262.96
  6. Step 6: Final answer
    x = 10,123.72

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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.