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Finding the Fourth Proportional to 9,754.20, 13,462.86 and 6,166.86

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Solution

The fourth proportional to 9,754.20, 13,462.86 and 6,166.86 is: 8,511.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.20 : 13,462.86 = 6,166.86 : x
  2. Step 2: Convert to fraction form
    9,754.20/13,462.86 = 6,166.86/x
  3. Step 3: Cross multiply
    9,754.20x = 13,462.86 × 6,166.86
  4. Step 4: Simplify right side
    9,754.20x = 83,023,572.82
  5. Step 5: Solve for x
    x = 83,023,572.82/9,754.20
  6. Step 6: Final answer
    x = 8,511.57

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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.