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Finding the Fourth Proportional to 8,147.16, 12,219 and 2,302.20

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Solution

The fourth proportional to 8,147.16, 12,219 and 2,302.20 is: 3,452.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.16 : 12,219 = 2,302.20 : x
  2. Step 2: Convert to fraction form
    8,147.16/12,219 = 2,302.20/x
  3. Step 3: Cross multiply
    8,147.16x = 12,219 × 2,302.20
  4. Step 4: Simplify right side
    8,147.16x = 28,130,581.80
  5. Step 5: Solve for x
    x = 28,130,581.80/8,147.16
  6. Step 6: Final answer
    x = 3,452.81

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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.