Home / 6,478.14-9,714.82-2,317.02

Finding the Fourth Proportional to 6,478.14, 9,714.82 and 2,317.02

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Solution

The fourth proportional to 6,478.14, 9,714.82 and 2,317.02 is: 3,474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.14 : 9,714.82 = 2,317.02 : x
  2. Step 2: Convert to fraction form
    6,478.14/9,714.82 = 2,317.02/x
  3. Step 3: Cross multiply
    6,478.14x = 9,714.82 × 2,317.02
  4. Step 4: Simplify right side
    6,478.14x = 22,509,432.24
  5. Step 5: Solve for x
    x = 22,509,432.24/6,478.14
  6. Step 6: Final answer
    x = 3,474.68

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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.