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Finding the Fourth Proportional to 6,572.86, 9,856.71 and 2,675.86

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Solution

The fourth proportional to 6,572.86, 9,856.71 and 2,675.86 is: 4,012.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.86 : 9,856.71 = 2,675.86 : x
  2. Step 2: Convert to fraction form
    6,572.86/9,856.71 = 2,675.86/x
  3. Step 3: Cross multiply
    6,572.86x = 9,856.71 × 2,675.86
  4. Step 4: Simplify right side
    6,572.86x = 26,375,176.02
  5. Step 5: Solve for x
    x = 26,375,176.02/6,572.86
  6. Step 6: Final answer
    x = 4,012.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.