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Finding the Fourth Proportional to 6,071.70, 9,107.55 and 3,447.30

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Solution

The fourth proportional to 6,071.70, 9,107.55 and 3,447.30 is: 5,170.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.70 : 9,107.55 = 3,447.30 : x
  2. Step 2: Convert to fraction form
    6,071.70/9,107.55 = 3,447.30/x
  3. Step 3: Cross multiply
    6,071.70x = 9,107.55 × 3,447.30
  4. Step 4: Simplify right side
    6,071.70x = 31,396,457.12
  5. Step 5: Solve for x
    x = 31,396,457.12/6,071.70
  6. Step 6: Final answer
    x = 5,170.95

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Similar ratio
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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.