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Finding the Fourth Proportional to 10,765.31, 16,148.89 and 2,974.12

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Solution

The fourth proportional to 10,765.31, 16,148.89 and 2,974.12 is: 4,461.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.31 : 16,148.89 = 2,974.12 : x
  2. Step 2: Convert to fraction form
    10,765.31/16,148.89 = 2,974.12/x
  3. Step 3: Cross multiply
    10,765.31x = 16,148.89 × 2,974.12
  4. Step 4: Simplify right side
    10,765.31x = 48,028,700.07
  5. Step 5: Solve for x
    x = 48,028,700.07/10,765.31
  6. Step 6: Final answer
    x = 4,461.43

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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.