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Finding the Fourth Proportional to 6,539, 9,023.82 and 3,595

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Solution

The fourth proportional to 6,539, 9,023.82 and 3,595 is: 4,961.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539 : 9,023.82 = 3,595 : x
  2. Step 2: Convert to fraction form
    6,539/9,023.82 = 3,595/x
  3. Step 3: Cross multiply
    6,539x = 9,023.82 × 3,595
  4. Step 4: Simplify right side
    6,539x = 32,440,632.90
  5. Step 5: Solve for x
    x = 32,440,632.90/6,539
  6. Step 6: Final answer
    x = 4,961.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.