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Finding the Fourth Proportional to 26,926.49, 40,378.01 and 8,202.13

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Solution

The fourth proportional to 26,926.49, 40,378.01 and 8,202.13 is: 12,299.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,926.49 : 40,378.01 = 8,202.13 : x
  2. Step 2: Convert to fraction form
    26,926.49/40,378.01 = 8,202.13/x
  3. Step 3: Cross multiply
    26,926.49x = 40,378.01 × 8,202.13
  4. Step 4: Simplify right side
    26,926.49x = 331,185,545.21
  5. Step 5: Solve for x
    x = 331,185,545.21/26,926.49
  6. Step 6: Final answer
    x = 12,299.62

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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.