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Finding the Fourth Proportional to 8,209.04, 12,321.24 and 4,053.74

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Solution

The fourth proportional to 8,209.04, 12,321.24 and 4,053.74 is: 6,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.04 : 12,321.24 = 4,053.74 : x
  2. Step 2: Convert to fraction form
    8,209.04/12,321.24 = 4,053.74/x
  3. Step 3: Cross multiply
    8,209.04x = 12,321.24 × 4,053.74
  4. Step 4: Simplify right side
    8,209.04x = 49,947,103.44
  5. Step 5: Solve for x
    x = 49,947,103.44/8,209.04
  6. Step 6: Final answer
    x = 6,084.40

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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.