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Finding the Fourth Proportional to 8,136.24, 12,208.20 and 8,005.20

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Solution

The fourth proportional to 8,136.24, 12,208.20 and 8,005.20 is: 12,011.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.24 : 12,208.20 = 8,005.20 : x
  2. Step 2: Convert to fraction form
    8,136.24/12,208.20 = 8,005.20/x
  3. Step 3: Cross multiply
    8,136.24x = 12,208.20 × 8,005.20
  4. Step 4: Simplify right side
    8,136.24x = 97,729,082.64
  5. Step 5: Solve for x
    x = 97,729,082.64/8,136.24
  6. Step 6: Final answer
    x = 12,011.58

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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.