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Finding the Fourth Proportional to 8,340.80, 12,478.80 and 5,424.80

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Solution

The fourth proportional to 8,340.80, 12,478.80 and 5,424.80 is: 8,116.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.80 : 12,478.80 = 5,424.80 : x
  2. Step 2: Convert to fraction form
    8,340.80/12,478.80 = 5,424.80/x
  3. Step 3: Cross multiply
    8,340.80x = 12,478.80 × 5,424.80
  4. Step 4: Simplify right side
    8,340.80x = 67,694,994.24
  5. Step 5: Solve for x
    x = 67,694,994.24/8,340.80
  6. Step 6: Final answer
    x = 8,116.13

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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.