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Finding the Fourth Proportional to 6,598.22, 9,895.37 and 3,595.79

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Solution

The fourth proportional to 6,598.22, 9,895.37 and 3,595.79 is: 5,392.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.22 : 9,895.37 = 3,595.79 : x
  2. Step 2: Convert to fraction form
    6,598.22/9,895.37 = 3,595.79/x
  3. Step 3: Cross multiply
    6,598.22x = 9,895.37 × 3,595.79
  4. Step 4: Simplify right side
    6,598.22x = 35,581,679.25
  5. Step 5: Solve for x
    x = 35,581,679.25/6,598.22
  6. Step 6: Final answer
    x = 5,392.62

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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.