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Finding the Fourth Proportional to 6,094.57, 9,140.50 and 1,711.93

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Solution

The fourth proportional to 6,094.57, 9,140.50 and 1,711.93 is: 2,567.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.57 : 9,140.50 = 1,711.93 : x
  2. Step 2: Convert to fraction form
    6,094.57/9,140.50 = 1,711.93/x
  3. Step 3: Cross multiply
    6,094.57x = 9,140.50 × 1,711.93
  4. Step 4: Simplify right side
    6,094.57x = 15,647,896.17
  5. Step 5: Solve for x
    x = 15,647,896.17/6,094.57
  6. Step 6: Final answer
    x = 2,567.51

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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.