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Finding the Fourth Proportional to 9,523.14, 13,167.02 and 8,340.82

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Solution

The fourth proportional to 9,523.14, 13,167.02 and 8,340.82 is: 11,532.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.14 : 13,167.02 = 8,340.82 : x
  2. Step 2: Convert to fraction form
    9,523.14/13,167.02 = 8,340.82/x
  3. Step 3: Cross multiply
    9,523.14x = 13,167.02 × 8,340.82
  4. Step 4: Simplify right side
    9,523.14x = 109,823,770.57
  5. Step 5: Solve for x
    x = 109,823,770.57/9,523.14
  6. Step 6: Final answer
    x = 11,532.30

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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.