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Finding the Fourth Proportional to 9,252.84, 13,799.13 and 8,211.72

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Solution

The fourth proportional to 9,252.84, 13,799.13 and 8,211.72 is: 12,246.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.84 : 13,799.13 = 8,211.72 : x
  2. Step 2: Convert to fraction form
    9,252.84/13,799.13 = 8,211.72/x
  3. Step 3: Cross multiply
    9,252.84x = 13,799.13 × 8,211.72
  4. Step 4: Simplify right side
    9,252.84x = 113,314,591.80
  5. Step 5: Solve for x
    x = 113,314,591.80/9,252.84
  6. Step 6: Final answer
    x = 12,246.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.