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Finding the Fourth Proportional to 10,213.73, 15,305.99 and 5,822.13

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Solution

The fourth proportional to 10,213.73, 15,305.99 and 5,822.13 is: 8,724.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.73 : 15,305.99 = 5,822.13 : x
  2. Step 2: Convert to fraction form
    10,213.73/15,305.99 = 5,822.13/x
  3. Step 3: Cross multiply
    10,213.73x = 15,305.99 × 5,822.13
  4. Step 4: Simplify right side
    10,213.73x = 89,113,434.45
  5. Step 5: Solve for x
    x = 89,113,434.45/10,213.73
  6. Step 6: Final answer
    x = 8,724.87

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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.