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Finding the Fourth Proportional to 19,493.13, 29,248.34 and 7,178.25

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Solution

The fourth proportional to 19,493.13, 29,248.34 and 7,178.25 is: 10,770.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,493.13 : 29,248.34 = 7,178.25 : x
  2. Step 2: Convert to fraction form
    19,493.13/29,248.34 = 7,178.25/x
  3. Step 3: Cross multiply
    19,493.13x = 29,248.34 × 7,178.25
  4. Step 4: Simplify right side
    19,493.13x = 209,951,896.61
  5. Step 5: Solve for x
    x = 209,951,896.61/19,493.13
  6. Step 6: Final answer
    x = 10,770.56

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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.