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Finding the Fourth Proportional to 22,765.68, 34,147.46 and 7,977.94

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Solution

The fourth proportional to 22,765.68, 34,147.46 and 7,977.94 is: 11,966.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,765.68 : 34,147.46 = 7,977.94 : x
  2. Step 2: Convert to fraction form
    22,765.68/34,147.46 = 7,977.94/x
  3. Step 3: Cross multiply
    22,765.68x = 34,147.46 × 7,977.94
  4. Step 4: Simplify right side
    22,765.68x = 272,426,387.03
  5. Step 5: Solve for x
    x = 272,426,387.03/22,765.68
  6. Step 6: Final answer
    x = 11,966.54

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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.