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Finding the Fourth Proportional to 6,598.40, 9,884.84 and 3,667.82

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Solution

The fourth proportional to 6,598.40, 9,884.84 and 3,667.82 is: 5,494.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.40 : 9,884.84 = 3,667.82 : x
  2. Step 2: Convert to fraction form
    6,598.40/9,884.84 = 3,667.82/x
  3. Step 3: Cross multiply
    6,598.40x = 9,884.84 × 3,667.82
  4. Step 4: Simplify right side
    6,598.40x = 36,255,811.00
  5. Step 5: Solve for x
    x = 36,255,811.00/6,598.40
  6. Step 6: Final answer
    x = 5,494.64

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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.