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Finding the Fourth Proportional to 6,592.86, 9,889.30 and 2,697.27

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Solution

The fourth proportional to 6,592.86, 9,889.30 and 2,697.27 is: 4,045.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.86 : 9,889.30 = 2,697.27 : x
  2. Step 2: Convert to fraction form
    6,592.86/9,889.30 = 2,697.27/x
  3. Step 3: Cross multiply
    6,592.86x = 9,889.30 × 2,697.27
  4. Step 4: Simplify right side
    6,592.86x = 26,674,105.47
  5. Step 5: Solve for x
    x = 26,674,105.47/6,592.86
  6. Step 6: Final answer
    x = 4,045.91

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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.