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Finding the Fourth Proportional to 34,524.50, 51,787.86 and 9,564.78

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Solution

The fourth proportional to 34,524.50, 51,787.86 and 9,564.78 is: 14,347.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,524.50 : 51,787.86 = 9,564.78 : x
  2. Step 2: Convert to fraction form
    34,524.50/51,787.86 = 9,564.78/x
  3. Step 3: Cross multiply
    34,524.50x = 51,787.86 × 9,564.78
  4. Step 4: Simplify right side
    34,524.50x = 495,339,645.91
  5. Step 5: Solve for x
    x = 495,339,645.91/34,524.50
  6. Step 6: Final answer
    x = 14,347.48

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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.