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Finding the Fourth Proportional to 7,196.75, 10,795.14 and 2,002.64

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Solution

The fourth proportional to 7,196.75, 10,795.14 and 2,002.64 is: 3,003.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.75 : 10,795.14 = 2,002.64 : x
  2. Step 2: Convert to fraction form
    7,196.75/10,795.14 = 2,002.64/x
  3. Step 3: Cross multiply
    7,196.75x = 10,795.14 × 2,002.64
  4. Step 4: Simplify right side
    7,196.75x = 21,618,779.17
  5. Step 5: Solve for x
    x = 21,618,779.17/7,196.75
  6. Step 6: Final answer
    x = 3,003.96

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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.