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Finding the Fourth Proportional to 9,910.40, 14,860.80 and 5,523.20

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Solution

The fourth proportional to 9,910.40, 14,860.80 and 5,523.20 is: 8,282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.40 : 14,860.80 = 5,523.20 : x
  2. Step 2: Convert to fraction form
    9,910.40/14,860.80 = 5,523.20/x
  3. Step 3: Cross multiply
    9,910.40x = 14,860.80 × 5,523.20
  4. Step 4: Simplify right side
    9,910.40x = 82,079,170.56
  5. Step 5: Solve for x
    x = 82,079,170.56/9,910.40
  6. Step 6: Final answer
    x = 8,282.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.