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Finding the Fourth Proportional to 6,317.46, 9,476.19 and 1,700.46

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Solution

The fourth proportional to 6,317.46, 9,476.19 and 1,700.46 is: 2,550.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.46 : 9,476.19 = 1,700.46 : x
  2. Step 2: Convert to fraction form
    6,317.46/9,476.19 = 1,700.46/x
  3. Step 3: Cross multiply
    6,317.46x = 9,476.19 × 1,700.46
  4. Step 4: Simplify right side
    6,317.46x = 16,113,882.05
  5. Step 5: Solve for x
    x = 16,113,882.05/6,317.46
  6. Step 6: Final answer
    x = 2,550.69

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