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Finding the Fourth Proportional to 12,172.20, 16,797.72 and 7,697.88

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Solution

The fourth proportional to 12,172.20, 16,797.72 and 7,697.88 is: 10,623.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172.20 : 16,797.72 = 7,697.88 : x
  2. Step 2: Convert to fraction form
    12,172.20/16,797.72 = 7,697.88/x
  3. Step 3: Cross multiply
    12,172.20x = 16,797.72 × 7,697.88
  4. Step 4: Simplify right side
    12,172.20x = 129,306,832.83
  5. Step 5: Solve for x
    x = 129,306,832.83/12,172.20
  6. Step 6: Final answer
    x = 10,623.13

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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.