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Finding the Fourth Proportional to 15,732.56, 23,591.15 and 7,405.56

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Solution

The fourth proportional to 15,732.56, 23,591.15 and 7,405.56 is: 11,104.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.56 : 23,591.15 = 7,405.56 : x
  2. Step 2: Convert to fraction form
    15,732.56/23,591.15 = 7,405.56/x
  3. Step 3: Cross multiply
    15,732.56x = 23,591.15 × 7,405.56
  4. Step 4: Simplify right side
    15,732.56x = 174,705,667.54
  5. Step 5: Solve for x
    x = 174,705,667.54/15,732.56
  6. Step 6: Final answer
    x = 11,104.72

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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.