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Finding the Fourth Proportional to 7,167.75, 10,751.67 and 1,973.67

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Solution

The fourth proportional to 7,167.75, 10,751.67 and 1,973.67 is: 2,960.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.75 : 10,751.67 = 1,973.67 : x
  2. Step 2: Convert to fraction form
    7,167.75/10,751.67 = 1,973.67/x
  3. Step 3: Cross multiply
    7,167.75x = 10,751.67 × 1,973.67
  4. Step 4: Simplify right side
    7,167.75x = 21,220,248.53
  5. Step 5: Solve for x
    x = 21,220,248.53/7,167.75
  6. Step 6: Final answer
    x = 2,960.52

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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.