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Finding the Fourth Proportional to 6,111.68, 9,167.56 and 1,494.68

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Solution

The fourth proportional to 6,111.68, 9,167.56 and 1,494.68 is: 2,242.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.68 : 9,167.56 = 1,494.68 : x
  2. Step 2: Convert to fraction form
    6,111.68/9,167.56 = 1,494.68/x
  3. Step 3: Cross multiply
    6,111.68x = 9,167.56 × 1,494.68
  4. Step 4: Simplify right side
    6,111.68x = 13,702,568.58
  5. Step 5: Solve for x
    x = 13,702,568.58/6,111.68
  6. Step 6: Final answer
    x = 2,242.03

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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.