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Finding the Fourth Proportional to 11,652.24, 16,061.36 and 7,874.24

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Solution

The fourth proportional to 11,652.24, 16,061.36 and 7,874.24 is: 10,853.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.24 : 16,061.36 = 7,874.24 : x
  2. Step 2: Convert to fraction form
    11,652.24/16,061.36 = 7,874.24/x
  3. Step 3: Cross multiply
    11,652.24x = 16,061.36 × 7,874.24
  4. Step 4: Simplify right side
    11,652.24x = 126,471,003.37
  5. Step 5: Solve for x
    x = 126,471,003.37/11,652.24
  6. Step 6: Final answer
    x = 10,853.79

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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.