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Finding the Fourth Proportional to 6,293.82, 8,685.90 and 4,165.68

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Solution

The fourth proportional to 6,293.82, 8,685.90 and 4,165.68 is: 5,748.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.82 : 8,685.90 = 4,165.68 : x
  2. Step 2: Convert to fraction form
    6,293.82/8,685.90 = 4,165.68/x
  3. Step 3: Cross multiply
    6,293.82x = 8,685.90 × 4,165.68
  4. Step 4: Simplify right side
    6,293.82x = 36,182,679.91
  5. Step 5: Solve for x
    x = 36,182,679.91/6,293.82
  6. Step 6: Final answer
    x = 5,748.92

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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.