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Finding the Fourth Proportional to 15,490.96, 23,242.32 and 7,174.96

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Solution

The fourth proportional to 15,490.96, 23,242.32 and 7,174.96 is: 10,765.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,490.96 : 23,242.32 = 7,174.96 : x
  2. Step 2: Convert to fraction form
    15,490.96/23,242.32 = 7,174.96/x
  3. Step 3: Cross multiply
    15,490.96x = 23,242.32 × 7,174.96
  4. Step 4: Simplify right side
    15,490.96x = 166,762,716.31
  5. Step 5: Solve for x
    x = 166,762,716.31/15,490.96
  6. Step 6: Final answer
    x = 10,765.16

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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.