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Finding the Fourth Proportional to 6,882.32, 9,497.56 and 3,738.48

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Solution

The fourth proportional to 6,882.32, 9,497.56 and 3,738.48 is: 5,159.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.32 : 9,497.56 = 3,738.48 : x
  2. Step 2: Convert to fraction form
    6,882.32/9,497.56 = 3,738.48/x
  3. Step 3: Cross multiply
    6,882.32x = 9,497.56 × 3,738.48
  4. Step 4: Simplify right side
    6,882.32x = 35,506,438.11
  5. Step 5: Solve for x
    x = 35,506,438.11/6,882.32
  6. Step 6: Final answer
    x = 5,159.08

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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.