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Finding the Fourth Proportional to 9,242.74, 12,757.25 and 5,266.20

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Solution

The fourth proportional to 9,242.74, 12,757.25 and 5,266.20 is: 7,268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.74 : 12,757.25 = 5,266.20 : x
  2. Step 2: Convert to fraction form
    9,242.74/12,757.25 = 5,266.20/x
  3. Step 3: Cross multiply
    9,242.74x = 12,757.25 × 5,266.20
  4. Step 4: Simplify right side
    9,242.74x = 67,182,243.12
  5. Step 5: Solve for x
    x = 67,182,243.12/9,242.74
  6. Step 6: Final answer
    x = 7,268.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.