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Finding the Fourth Proportional to 6,329.86, 9,494.79 and 1,713.22

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Solution

The fourth proportional to 6,329.86, 9,494.79 and 1,713.22 is: 2,569.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.86 : 9,494.79 = 1,713.22 : x
  2. Step 2: Convert to fraction form
    6,329.86/9,494.79 = 1,713.22/x
  3. Step 3: Cross multiply
    6,329.86x = 9,494.79 × 1,713.22
  4. Step 4: Simplify right side
    6,329.86x = 16,266,664.12
  5. Step 5: Solve for x
    x = 16,266,664.12/6,329.86
  6. Step 6: Final answer
    x = 2,569.83

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Similar ratio
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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.