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Finding the Fourth Proportional to 9,274.13, 12,797.82 and 5,241

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Solution

The fourth proportional to 9,274.13, 12,797.82 and 5,241 is: 7,232.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.13 : 12,797.82 = 5,241 : x
  2. Step 2: Convert to fraction form
    9,274.13/12,797.82 = 5,241/x
  3. Step 3: Cross multiply
    9,274.13x = 12,797.82 × 5,241
  4. Step 4: Simplify right side
    9,274.13x = 67,073,374.62
  5. Step 5: Solve for x
    x = 67,073,374.62/9,274.13
  6. Step 6: Final answer
    x = 7,232.31

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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.