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Finding the Fourth Proportional to 9,246.38, 12,760 and 4,997.42

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Solution

The fourth proportional to 9,246.38, 12,760 and 4,997.42 is: 6,896.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.38 : 12,760 = 4,997.42 : x
  2. Step 2: Convert to fraction form
    9,246.38/12,760 = 4,997.42/x
  3. Step 3: Cross multiply
    9,246.38x = 12,760 × 4,997.42
  4. Step 4: Simplify right side
    9,246.38x = 63,767,079.20
  5. Step 5: Solve for x
    x = 63,767,079.20/9,246.38
  6. Step 6: Final answer
    x = 6,896.44

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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.