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Finding the Fourth Proportional to 6,070.38, 9,100.14 and 2,371.74

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Solution

The fourth proportional to 6,070.38, 9,100.14 and 2,371.74 is: 3,555.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,070.38 : 9,100.14 = 2,371.74 : x
  2. Step 2: Convert to fraction form
    6,070.38/9,100.14 = 2,371.74/x
  3. Step 3: Cross multiply
    6,070.38x = 9,100.14 × 2,371.74
  4. Step 4: Simplify right side
    6,070.38x = 21,583,166.04
  5. Step 5: Solve for x
    x = 21,583,166.04/6,070.38
  6. Step 6: Final answer
    x = 3,555.49

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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.