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Finding the Fourth Proportional to 6,317.86, 9,476.82 and 1,935.31

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Solution

The fourth proportional to 6,317.86, 9,476.82 and 1,935.31 is: 2,902.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.86 : 9,476.82 = 1,935.31 : x
  2. Step 2: Convert to fraction form
    6,317.86/9,476.82 = 1,935.31/x
  3. Step 3: Cross multiply
    6,317.86x = 9,476.82 × 1,935.31
  4. Step 4: Simplify right side
    6,317.86x = 18,340,527.45
  5. Step 5: Solve for x
    x = 18,340,527.45/6,317.86
  6. Step 6: Final answer
    x = 2,902.97

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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.