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Finding the Fourth Proportional to 12,734.66, 17,571.12 and 7,697.88

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Solution

The fourth proportional to 12,734.66, 17,571.12 and 7,697.88 is: 10,621.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,734.66 : 17,571.12 = 7,697.88 : x
  2. Step 2: Convert to fraction form
    12,734.66/17,571.12 = 7,697.88/x
  3. Step 3: Cross multiply
    12,734.66x = 17,571.12 × 7,697.88
  4. Step 4: Simplify right side
    12,734.66x = 135,260,373.23
  5. Step 5: Solve for x
    x = 135,260,373.23/12,734.66
  6. Step 6: Final answer
    x = 10,621.44

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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.