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Finding the Fourth Proportional to 9,924, 13,695.12 and 5,732.25

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Solution

The fourth proportional to 9,924, 13,695.12 and 5,732.25 is: 7,910.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924 : 13,695.12 = 5,732.25 : x
  2. Step 2: Convert to fraction form
    9,924/13,695.12 = 5,732.25/x
  3. Step 3: Cross multiply
    9,924x = 13,695.12 × 5,732.25
  4. Step 4: Simplify right side
    9,924x = 78,503,851.62
  5. Step 5: Solve for x
    x = 78,503,851.62/9,924
  6. Step 6: Final answer
    x = 7,910.51

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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.