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Finding the Fourth Proportional to 8,107, 12,144.77 and 5,325.23

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Solution

The fourth proportional to 8,107, 12,144.77 and 5,325.23 is: 7,977.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107 : 12,144.77 = 5,325.23 : x
  2. Step 2: Convert to fraction form
    8,107/12,144.77 = 5,325.23/x
  3. Step 3: Cross multiply
    8,107x = 12,144.77 × 5,325.23
  4. Step 4: Simplify right side
    8,107x = 64,673,697.28
  5. Step 5: Solve for x
    x = 64,673,697.28/8,107
  6. Step 6: Final answer
    x = 7,977.51

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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.