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Finding the Fourth Proportional to 12,220, 16,863.64 and 7,504.24

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Solution

The fourth proportional to 12,220, 16,863.64 and 7,504.24 is: 10,355.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,220 : 16,863.64 = 7,504.24 : x
  2. Step 2: Convert to fraction form
    12,220/16,863.64 = 7,504.24/x
  3. Step 3: Cross multiply
    12,220x = 16,863.64 × 7,504.24
  4. Step 4: Simplify right side
    12,220x = 126,548,801.83
  5. Step 5: Solve for x
    x = 126,548,801.83/12,220
  6. Step 6: Final answer
    x = 10,355.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.