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Finding the Fourth Proportional to 7,773.73, 11,650.84 and 6,123.76

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Solution

The fourth proportional to 7,773.73, 11,650.84 and 6,123.76 is: 9,177.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.73 : 11,650.84 = 6,123.76 : x
  2. Step 2: Convert to fraction form
    7,773.73/11,650.84 = 6,123.76/x
  3. Step 3: Cross multiply
    7,773.73x = 11,650.84 × 6,123.76
  4. Step 4: Simplify right side
    7,773.73x = 71,346,903.52
  5. Step 5: Solve for x
    x = 71,346,903.52/7,773.73
  6. Step 6: Final answer
    x = 9,177.95

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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.