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Finding the Fourth Proportional to 12,851.04, 17,734.36 and 6,963.04

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Solution

The fourth proportional to 12,851.04, 17,734.36 and 6,963.04 is: 9,608.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.04 : 17,734.36 = 6,963.04 : x
  2. Step 2: Convert to fraction form
    12,851.04/17,734.36 = 6,963.04/x
  3. Step 3: Cross multiply
    12,851.04x = 17,734.36 × 6,963.04
  4. Step 4: Simplify right side
    12,851.04x = 123,485,058.05
  5. Step 5: Solve for x
    x = 123,485,058.05/12,851.04
  6. Step 6: Final answer
    x = 9,608.95

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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.