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Finding the Fourth Proportional to 6,114.99, 9,170.15 and 2,602.78

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Solution

The fourth proportional to 6,114.99, 9,170.15 and 2,602.78 is: 3,903.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.99 : 9,170.15 = 2,602.78 : x
  2. Step 2: Convert to fraction form
    6,114.99/9,170.15 = 2,602.78/x
  3. Step 3: Cross multiply
    6,114.99x = 9,170.15 × 2,602.78
  4. Step 4: Simplify right side
    6,114.99x = 23,867,837.17
  5. Step 5: Solve for x
    x = 23,867,837.17/6,114.99
  6. Step 6: Final answer
    x = 3,903.17

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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.