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Finding the Fourth Proportional to 12,242.22, 16,862.76 and 9,584.88

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Solution

The fourth proportional to 12,242.22, 16,862.76 and 9,584.88 is: 13,202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.22 : 16,862.76 = 9,584.88 : x
  2. Step 2: Convert to fraction form
    12,242.22/16,862.76 = 9,584.88/x
  3. Step 3: Cross multiply
    12,242.22x = 16,862.76 × 9,584.88
  4. Step 4: Simplify right side
    12,242.22x = 161,627,531.07
  5. Step 5: Solve for x
    x = 161,627,531.07/12,242.22
  6. Step 6: Final answer
    x = 13,202.47

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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.