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Finding the Fourth Proportional to 6,476.12, 9,701.12 and 3,974.14

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Solution

The fourth proportional to 6,476.12, 9,701.12 and 3,974.14 is: 5,953.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.12 : 9,701.12 = 3,974.14 : x
  2. Step 2: Convert to fraction form
    6,476.12/9,701.12 = 3,974.14/x
  3. Step 3: Cross multiply
    6,476.12x = 9,701.12 × 3,974.14
  4. Step 4: Simplify right side
    6,476.12x = 38,553,609.04
  5. Step 5: Solve for x
    x = 38,553,609.04/6,476.12
  6. Step 6: Final answer
    x = 5,953.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.