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Finding the Fourth Proportional to 8,232.53, 12,351.96 and 4,947.98

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Solution

The fourth proportional to 8,232.53, 12,351.96 and 4,947.98 is: 7,423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.53 : 12,351.96 = 4,947.98 : x
  2. Step 2: Convert to fraction form
    8,232.53/12,351.96 = 4,947.98/x
  3. Step 3: Cross multiply
    8,232.53x = 12,351.96 × 4,947.98
  4. Step 4: Simplify right side
    8,232.53x = 61,117,189.28
  5. Step 5: Solve for x
    x = 61,117,189.28/8,232.53
  6. Step 6: Final answer
    x = 7,423.87

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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.