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Finding the Fourth Proportional to 25,632, 38,449.44 and 7,165.44

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Solution

The fourth proportional to 25,632, 38,449.44 and 7,165.44 is: 10,748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,632 : 38,449.44 = 7,165.44 : x
  2. Step 2: Convert to fraction form
    25,632/38,449.44 = 7,165.44/x
  3. Step 3: Cross multiply
    25,632x = 38,449.44 × 7,165.44
  4. Step 4: Simplify right side
    25,632x = 275,507,155.35
  5. Step 5: Solve for x
    x = 275,507,155.35/25,632
  6. Step 6: Final answer
    x = 10,748.56

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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.