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Finding the Fourth Proportional to 9,394.53, 12,963.10 and 5,414.88

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Solution

The fourth proportional to 9,394.53, 12,963.10 and 5,414.88 is: 7,471.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.53 : 12,963.10 = 5,414.88 : x
  2. Step 2: Convert to fraction form
    9,394.53/12,963.10 = 5,414.88/x
  3. Step 3: Cross multiply
    9,394.53x = 12,963.10 × 5,414.88
  4. Step 4: Simplify right side
    9,394.53x = 70,193,574.39
  5. Step 5: Solve for x
    x = 70,193,574.39/9,394.53
  6. Step 6: Final answer
    x = 7,471.75

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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.