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Finding the Fourth Proportional to 6,476.67, 9,713.94 and 2,315.97

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Solution

The fourth proportional to 6,476.67, 9,713.94 and 2,315.97 is: 3,473.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.67 : 9,713.94 = 2,315.97 : x
  2. Step 2: Convert to fraction form
    6,476.67/9,713.94 = 2,315.97/x
  3. Step 3: Cross multiply
    6,476.67x = 9,713.94 × 2,315.97
  4. Step 4: Simplify right side
    6,476.67x = 22,497,193.62
  5. Step 5: Solve for x
    x = 22,497,193.62/6,476.67
  6. Step 6: Final answer
    x = 3,473.57

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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.