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Finding the Fourth Proportional to 8,013.98, 12,023.13 and 7,242.86

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Solution

The fourth proportional to 8,013.98, 12,023.13 and 7,242.86 is: 10,866.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013.98 : 12,023.13 = 7,242.86 : x
  2. Step 2: Convert to fraction form
    8,013.98/12,023.13 = 7,242.86/x
  3. Step 3: Cross multiply
    8,013.98x = 12,023.13 × 7,242.86
  4. Step 4: Simplify right side
    8,013.98x = 87,081,847.35
  5. Step 5: Solve for x
    x = 87,081,847.35/8,013.98
  6. Step 6: Final answer
    x = 10,866.24

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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.