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Finding the Fourth Proportional to 6,849.95, 10,270.95 and 2,685.08

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Solution

The fourth proportional to 6,849.95, 10,270.95 and 2,685.08 is: 4,026.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.95 : 10,270.95 = 2,685.08 : x
  2. Step 2: Convert to fraction form
    6,849.95/10,270.95 = 2,685.08/x
  3. Step 3: Cross multiply
    6,849.95x = 10,270.95 × 2,685.08
  4. Step 4: Simplify right side
    6,849.95x = 27,578,353.14
  5. Step 5: Solve for x
    x = 27,578,353.14/6,849.95
  6. Step 6: Final answer
    x = 4,026.07

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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.