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Finding the Fourth Proportional to 6,070.31, 9,109.01 and 2,560.10

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Solution

The fourth proportional to 6,070.31, 9,109.01 and 2,560.10 is: 3,841.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,070.31 : 9,109.01 = 2,560.10 : x
  2. Step 2: Convert to fraction form
    6,070.31/9,109.01 = 2,560.10/x
  3. Step 3: Cross multiply
    6,070.31x = 9,109.01 × 2,560.10
  4. Step 4: Simplify right side
    6,070.31x = 23,319,976.50
  5. Step 5: Solve for x
    x = 23,319,976.50/6,070.31
  6. Step 6: Final answer
    x = 3,841.65

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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.