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Finding the Fourth Proportional to 6,937.65, 9,573.39 and 3,952.80

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Solution

The fourth proportional to 6,937.65, 9,573.39 and 3,952.80 is: 5,454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.65 : 9,573.39 = 3,952.80 : x
  2. Step 2: Convert to fraction form
    6,937.65/9,573.39 = 3,952.80/x
  3. Step 3: Cross multiply
    6,937.65x = 9,573.39 × 3,952.80
  4. Step 4: Simplify right side
    6,937.65x = 37,841,695.99
  5. Step 5: Solve for x
    x = 37,841,695.99/6,937.65
  6. Step 6: Final answer
    x = 5,454.54

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1.5x scale

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.