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Finding the Fourth Proportional to 6,882.26, 9,497.50 and 3,738.50

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Solution

The fourth proportional to 6,882.26, 9,497.50 and 3,738.50 is: 5,159.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.26 : 9,497.50 = 3,738.50 : x
  2. Step 2: Convert to fraction form
    6,882.26/9,497.50 = 3,738.50/x
  3. Step 3: Cross multiply
    6,882.26x = 9,497.50 × 3,738.50
  4. Step 4: Simplify right side
    6,882.26x = 35,506,403.75
  5. Step 5: Solve for x
    x = 35,506,403.75/6,882.26
  6. Step 6: Final answer
    x = 5,159.12

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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.