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Finding the Fourth Proportional to 6,130.79, 9,194.47 and 1,687.38

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Solution

The fourth proportional to 6,130.79, 9,194.47 and 1,687.38 is: 2,530.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.79 : 9,194.47 = 1,687.38 : x
  2. Step 2: Convert to fraction form
    6,130.79/9,194.47 = 1,687.38/x
  3. Step 3: Cross multiply
    6,130.79x = 9,194.47 × 1,687.38
  4. Step 4: Simplify right side
    6,130.79x = 15,514,560.57
  5. Step 5: Solve for x
    x = 15,514,560.57/6,130.79
  6. Step 6: Final answer
    x = 2,530.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.