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Finding the Fourth Proportional to 7,167.75, 10,746.63 and 3,658.83

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Solution

The fourth proportional to 7,167.75, 10,746.63 and 3,658.83 is: 5,485.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.75 : 10,746.63 = 3,658.83 : x
  2. Step 2: Convert to fraction form
    7,167.75/10,746.63 = 3,658.83/x
  3. Step 3: Cross multiply
    7,167.75x = 10,746.63 × 3,658.83
  4. Step 4: Simplify right side
    7,167.75x = 39,320,092.24
  5. Step 5: Solve for x
    x = 39,320,092.24/7,167.75
  6. Step 6: Final answer
    x = 5,485.70

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1.5x scale

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.