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Finding the Fourth Proportional to 4,964.17, 7,409.11 and 4,882.16

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Solution

The fourth proportional to 4,964.17, 7,409.11 and 4,882.16 is: 7,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.17 : 7,409.11 = 4,882.16 : x
  2. Step 2: Convert to fraction form
    4,964.17/7,409.11 = 4,882.16/x
  3. Step 3: Cross multiply
    4,964.17x = 7,409.11 × 4,882.16
  4. Step 4: Simplify right side
    4,964.17x = 36,172,460.48
  5. Step 5: Solve for x
    x = 36,172,460.48/4,964.17
  6. Step 6: Final answer
    x = 7,286.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.