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Finding the Fourth Proportional to 6,599.40, 9,886.34 and 3,668.82

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Solution

The fourth proportional to 6,599.40, 9,886.34 and 3,668.82 is: 5,496.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599.40 : 9,886.34 = 3,668.82 : x
  2. Step 2: Convert to fraction form
    6,599.40/9,886.34 = 3,668.82/x
  3. Step 3: Cross multiply
    6,599.40x = 9,886.34 × 3,668.82
  4. Step 4: Simplify right side
    6,599.40x = 36,271,201.92
  5. Step 5: Solve for x
    x = 36,271,201.92/6,599.40
  6. Step 6: Final answer
    x = 5,496.14

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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.