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Finding the Fourth Proportional to 6,882.50, 9,497.79 and 3,738.69

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Solution

The fourth proportional to 6,882.50, 9,497.79 and 3,738.69 is: 5,159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.50 : 9,497.79 = 3,738.69 : x
  2. Step 2: Convert to fraction form
    6,882.50/9,497.79 = 3,738.69/x
  3. Step 3: Cross multiply
    6,882.50x = 9,497.79 × 3,738.69
  4. Step 4: Simplify right side
    6,882.50x = 35,509,292.50
  5. Step 5: Solve for x
    x = 35,509,292.50/6,882.50
  6. Step 6: Final answer
    x = 5,159.36

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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.