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Finding the Fourth Proportional to 8,302.80, 12,454.20 and 4,846.80

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Solution

The fourth proportional to 8,302.80, 12,454.20 and 4,846.80 is: 7,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.80 : 12,454.20 = 4,846.80 : x
  2. Step 2: Convert to fraction form
    8,302.80/12,454.20 = 4,846.80/x
  3. Step 3: Cross multiply
    8,302.80x = 12,454.20 × 4,846.80
  4. Step 4: Simplify right side
    8,302.80x = 60,363,016.56
  5. Step 5: Solve for x
    x = 60,363,016.56/8,302.80
  6. Step 6: Final answer
    x = 7,270.20

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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.