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Finding the Fourth Proportional to 7,773.68, 11,660.42 and 4,654.55

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Solution

The fourth proportional to 7,773.68, 11,660.42 and 4,654.55 is: 6,981.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.68 : 11,660.42 = 4,654.55 : x
  2. Step 2: Convert to fraction form
    7,773.68/11,660.42 = 4,654.55/x
  3. Step 3: Cross multiply
    7,773.68x = 11,660.42 × 4,654.55
  4. Step 4: Simplify right side
    7,773.68x = 54,273,926.34
  5. Step 5: Solve for x
    x = 54,273,926.34/7,773.68
  6. Step 6: Final answer
    x = 6,981.76

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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.