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Finding the Fourth Proportional to 6,856.38, 9,447.71 and 5,262.93

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Solution

The fourth proportional to 6,856.38, 9,447.71 and 5,262.93 is: 7,252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.38 : 9,447.71 = 5,262.93 : x
  2. Step 2: Convert to fraction form
    6,856.38/9,447.71 = 5,262.93/x
  3. Step 3: Cross multiply
    6,856.38x = 9,447.71 × 5,262.93
  4. Step 4: Simplify right side
    6,856.38x = 49,722,610.08
  5. Step 5: Solve for x
    x = 49,722,610.08/6,856.38
  6. Step 6: Final answer
    x = 7,252.02

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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.