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Finding the Fourth Proportional to 22,784.50, 34,178.03 and 6,369.78

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Solution

The fourth proportional to 22,784.50, 34,178.03 and 6,369.78 is: 9,555.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,784.50 : 34,178.03 = 6,369.78 : x
  2. Step 2: Convert to fraction form
    22,784.50/34,178.03 = 6,369.78/x
  3. Step 3: Cross multiply
    22,784.50x = 34,178.03 × 6,369.78
  4. Step 4: Simplify right side
    22,784.50x = 217,706,531.93
  5. Step 5: Solve for x
    x = 217,706,531.93/22,784.50
  6. Step 6: Final answer
    x = 9,555.03

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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.