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Finding the Fourth Proportional to 12,997.65, 19,496.30 and 3,136.84

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Solution

The fourth proportional to 12,997.65, 19,496.30 and 3,136.84 is: 4,705.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.65 : 19,496.30 = 3,136.84 : x
  2. Step 2: Convert to fraction form
    12,997.65/19,496.30 = 3,136.84/x
  3. Step 3: Cross multiply
    12,997.65x = 19,496.30 × 3,136.84
  4. Step 4: Simplify right side
    12,997.65x = 61,156,773.69
  5. Step 5: Solve for x
    x = 61,156,773.69/12,997.65
  6. Step 6: Final answer
    x = 4,705.22

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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.