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Finding the Fourth Proportional to 12,223.88, 16,869.16 and 6,634.88

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Solution

The fourth proportional to 12,223.88, 16,869.16 and 6,634.88 is: 9,156.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.88 : 16,869.16 = 6,634.88 : x
  2. Step 2: Convert to fraction form
    12,223.88/16,869.16 = 6,634.88/x
  3. Step 3: Cross multiply
    12,223.88x = 16,869.16 × 6,634.88
  4. Step 4: Simplify right side
    12,223.88x = 111,924,852.30
  5. Step 5: Solve for x
    x = 111,924,852.30/12,223.88
  6. Step 6: Final answer
    x = 9,156.25

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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.