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Finding the Fourth Proportional to 9,241, 12,752.22 and 5,261.92

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Solution

The fourth proportional to 9,241, 12,752.22 and 5,261.92 is: 7,261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241 : 12,752.22 = 5,261.92 : x
  2. Step 2: Convert to fraction form
    9,241/12,752.22 = 5,261.92/x
  3. Step 3: Cross multiply
    9,241x = 12,752.22 × 5,261.92
  4. Step 4: Simplify right side
    9,241x = 67,101,161.46
  5. Step 5: Solve for x
    x = 67,101,161.46/9,241
  6. Step 6: Final answer
    x = 7,261.24

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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.