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Finding the Fourth Proportional to 22,827.16, 34,238.02 and 6,186.16

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Solution

The fourth proportional to 22,827.16, 34,238.02 and 6,186.16 is: 9,278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,827.16 : 34,238.02 = 6,186.16 : x
  2. Step 2: Convert to fraction form
    22,827.16/34,238.02 = 6,186.16/x
  3. Step 3: Cross multiply
    22,827.16x = 34,238.02 × 6,186.16
  4. Step 4: Simplify right side
    22,827.16x = 211,801,869.80
  5. Step 5: Solve for x
    x = 211,801,869.80/22,827.16
  6. Step 6: Final answer
    x = 9,278.50

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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.