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Finding the Fourth Proportional to 9,198.72, 12,695.36 and 6,068.96

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Solution

The fourth proportional to 9,198.72, 12,695.36 and 6,068.96 is: 8,375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.72 : 12,695.36 = 6,068.96 : x
  2. Step 2: Convert to fraction form
    9,198.72/12,695.36 = 6,068.96/x
  3. Step 3: Cross multiply
    9,198.72x = 12,695.36 × 6,068.96
  4. Step 4: Simplify right side
    9,198.72x = 77,047,632.03
  5. Step 5: Solve for x
    x = 77,047,632.03/9,198.72
  6. Step 6: Final answer
    x = 8,375.91

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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.