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Finding the Fourth Proportional to 12,376.81, 17,082.24 and 7,343.97

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Solution

The fourth proportional to 12,376.81, 17,082.24 and 7,343.97 is: 10,136.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.81 : 17,082.24 = 7,343.97 : x
  2. Step 2: Convert to fraction form
    12,376.81/17,082.24 = 7,343.97/x
  3. Step 3: Cross multiply
    12,376.81x = 17,082.24 × 7,343.97
  4. Step 4: Simplify right side
    12,376.81x = 125,451,458.09
  5. Step 5: Solve for x
    x = 125,451,458.09/12,376.81
  6. Step 6: Final answer
    x = 10,136.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.