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Finding the Fourth Proportional to 22,832.28, 34,267.86 and 8,991

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Solution

The fourth proportional to 22,832.28, 34,267.86 and 8,991 is: 13,494.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832.28 : 34,267.86 = 8,991 : x
  2. Step 2: Convert to fraction form
    22,832.28/34,267.86 = 8,991/x
  3. Step 3: Cross multiply
    22,832.28x = 34,267.86 × 8,991
  4. Step 4: Simplify right side
    22,832.28x = 308,102,329.26
  5. Step 5: Solve for x
    x = 308,102,329.26/22,832.28
  6. Step 6: Final answer
    x = 13,494.16

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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.