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Finding the Fourth Proportional to 6,171.90, 9,241.65 and 4,865.10

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Solution

The fourth proportional to 6,171.90, 9,241.65 and 4,865.10 is: 7,284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.90 : 9,241.65 = 4,865.10 : x
  2. Step 2: Convert to fraction form
    6,171.90/9,241.65 = 4,865.10/x
  3. Step 3: Cross multiply
    6,171.90x = 9,241.65 × 4,865.10
  4. Step 4: Simplify right side
    6,171.90x = 44,961,551.42
  5. Step 5: Solve for x
    x = 44,961,551.42/6,171.90
  6. Step 6: Final answer
    x = 7,284.88

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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.