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Finding the Fourth Proportional to 6,071.40, 9,104.40 and 2,785.50

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Solution

The fourth proportional to 6,071.40, 9,104.40 and 2,785.50 is: 4,177.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.40 : 9,104.40 = 2,785.50 : x
  2. Step 2: Convert to fraction form
    6,071.40/9,104.40 = 2,785.50/x
  3. Step 3: Cross multiply
    6,071.40x = 9,104.40 × 2,785.50
  4. Step 4: Simplify right side
    6,071.40x = 25,360,306.20
  5. Step 5: Solve for x
    x = 25,360,306.20/6,071.40
  6. Step 6: Final answer
    x = 4,177.01

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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.