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Finding the Fourth Proportional to 15,452.76, 23,165.46 and 7,443.48

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Solution

The fourth proportional to 15,452.76, 23,165.46 and 7,443.48 is: 11,158.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,452.76 : 23,165.46 = 7,443.48 : x
  2. Step 2: Convert to fraction form
    15,452.76/23,165.46 = 7,443.48/x
  3. Step 3: Cross multiply
    15,452.76x = 23,165.46 × 7,443.48
  4. Step 4: Simplify right side
    15,452.76x = 172,431,638.20
  5. Step 5: Solve for x
    x = 172,431,638.20/15,452.76
  6. Step 6: Final answer
    x = 11,158.63

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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.