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Finding the Fourth Proportional to 6,993.04, 9,661 and 5,221.58

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Solution

The fourth proportional to 6,993.04, 9,661 and 5,221.58 is: 7,213.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.04 : 9,661 = 5,221.58 : x
  2. Step 2: Convert to fraction form
    6,993.04/9,661 = 5,221.58/x
  3. Step 3: Cross multiply
    6,993.04x = 9,661 × 5,221.58
  4. Step 4: Simplify right side
    6,993.04x = 50,445,684.38
  5. Step 5: Solve for x
    x = 50,445,684.38/6,993.04
  6. Step 6: Final answer
    x = 7,213.70

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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.