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Finding the Fourth Proportional to 8,002.40, 11,982.08 and 5,222.20

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Solution

The fourth proportional to 8,002.40, 11,982.08 and 5,222.20 is: 7,819.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.40 : 11,982.08 = 5,222.20 : x
  2. Step 2: Convert to fraction form
    8,002.40/11,982.08 = 5,222.20/x
  3. Step 3: Cross multiply
    8,002.40x = 11,982.08 × 5,222.20
  4. Step 4: Simplify right side
    8,002.40x = 62,572,818.18
  5. Step 5: Solve for x
    x = 62,572,818.18/8,002.40
  6. Step 6: Final answer
    x = 7,819.26

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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.