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Finding the Fourth Proportional to 6,047.32, 9,070.80 and 2,149

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Solution

The fourth proportional to 6,047.32, 9,070.80 and 2,149 is: 3,223.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.32 : 9,070.80 = 2,149 : x
  2. Step 2: Convert to fraction form
    6,047.32/9,070.80 = 2,149/x
  3. Step 3: Cross multiply
    6,047.32x = 9,070.80 × 2,149
  4. Step 4: Simplify right side
    6,047.32x = 19,493,149.20
  5. Step 5: Solve for x
    x = 19,493,149.20/6,047.32
  6. Step 6: Final answer
    x = 3,223.44

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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.