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Finding the Fourth Proportional to 15,593.96, 23,391.42 and 6,824.36

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Solution

The fourth proportional to 15,593.96, 23,391.42 and 6,824.36 is: 10,236.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,593.96 : 23,391.42 = 6,824.36 : x
  2. Step 2: Convert to fraction form
    15,593.96/23,391.42 = 6,824.36/x
  3. Step 3: Cross multiply
    15,593.96x = 23,391.42 × 6,824.36
  4. Step 4: Simplify right side
    15,593.96x = 159,631,470.99
  5. Step 5: Solve for x
    x = 159,631,470.99/15,593.96
  6. Step 6: Final answer
    x = 10,236.75

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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.