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Finding the Fourth Proportional to 6,837, 10,254.59 and 2,674.11

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Solution

The fourth proportional to 6,837, 10,254.59 and 2,674.11 is: 4,010.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837 : 10,254.59 = 2,674.11 : x
  2. Step 2: Convert to fraction form
    6,837/10,254.59 = 2,674.11/x
  3. Step 3: Cross multiply
    6,837x = 10,254.59 × 2,674.11
  4. Step 4: Simplify right side
    6,837x = 27,421,888.29
  5. Step 5: Solve for x
    x = 27,421,888.29/6,837
  6. Step 6: Final answer
    x = 4,010.81

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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.