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Finding the Fourth Proportional to 12,213.64, 16,854.24 and 6,909.22

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Solution

The fourth proportional to 12,213.64, 16,854.24 and 6,909.22 is: 9,534.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213.64 : 16,854.24 = 6,909.22 : x
  2. Step 2: Convert to fraction form
    12,213.64/16,854.24 = 6,909.22/x
  3. Step 3: Cross multiply
    12,213.64x = 16,854.24 × 6,909.22
  4. Step 4: Simplify right side
    12,213.64x = 116,449,652.09
  5. Step 5: Solve for x
    x = 116,449,652.09/12,213.64
  6. Step 6: Final answer
    x = 9,534.39

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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.