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Finding the Fourth Proportional to 6,160.66, 9,241.90 and 1,778.15

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Solution

The fourth proportional to 6,160.66, 9,241.90 and 1,778.15 is: 2,667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.66 : 9,241.90 = 1,778.15 : x
  2. Step 2: Convert to fraction form
    6,160.66/9,241.90 = 1,778.15/x
  3. Step 3: Cross multiply
    6,160.66x = 9,241.90 × 1,778.15
  4. Step 4: Simplify right side
    6,160.66x = 16,433,503.14
  5. Step 5: Solve for x
    x = 16,433,503.14/6,160.66
  6. Step 6: Final answer
    x = 2,667.49

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1.5x scale

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.