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Finding the Fourth Proportional to 15,947.85, 22,004.73 and 9,233.10

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Solution

The fourth proportional to 15,947.85, 22,004.73 and 9,233.10 is: 12,739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,947.85 : 22,004.73 = 9,233.10 : x
  2. Step 2: Convert to fraction form
    15,947.85/22,004.73 = 9,233.10/x
  3. Step 3: Cross multiply
    15,947.85x = 22,004.73 × 9,233.10
  4. Step 4: Simplify right side
    15,947.85x = 203,171,872.56
  5. Step 5: Solve for x
    x = 203,171,872.56/15,947.85
  6. Step 6: Final answer
    x = 12,739.77

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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.