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Finding the Fourth Proportional to 7,167.68, 10,751.64 and 1,973.52

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Solution

The fourth proportional to 7,167.68, 10,751.64 and 1,973.52 is: 2,960.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.68 : 10,751.64 = 1,973.52 : x
  2. Step 2: Convert to fraction form
    7,167.68/10,751.64 = 1,973.52/x
  3. Step 3: Cross multiply
    7,167.68x = 10,751.64 × 1,973.52
  4. Step 4: Simplify right side
    7,167.68x = 21,218,576.57
  5. Step 5: Solve for x
    x = 21,218,576.57/7,167.68
  6. Step 6: Final answer
    x = 2,960.31

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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.