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Finding the Fourth Proportional to 8,232.84, 12,348.78 and 4,923.72

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Solution

The fourth proportional to 8,232.84, 12,348.78 and 4,923.72 is: 7,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.84 : 12,348.78 = 4,923.72 : x
  2. Step 2: Convert to fraction form
    8,232.84/12,348.78 = 4,923.72/x
  3. Step 3: Cross multiply
    8,232.84x = 12,348.78 × 4,923.72
  4. Step 4: Simplify right side
    8,232.84x = 60,801,935.06
  5. Step 5: Solve for x
    x = 60,801,935.06/8,232.84
  6. Step 6: Final answer
    x = 7,385.29

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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.