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Finding the Fourth Proportional to 6,448.41, 9,671.04 and 2,698.16

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Solution

The fourth proportional to 6,448.41, 9,671.04 and 2,698.16 is: 4,046.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.41 : 9,671.04 = 2,698.16 : x
  2. Step 2: Convert to fraction form
    6,448.41/9,671.04 = 2,698.16/x
  3. Step 3: Cross multiply
    6,448.41x = 9,671.04 × 2,698.16
  4. Step 4: Simplify right side
    6,448.41x = 26,094,013.29
  5. Step 5: Solve for x
    x = 26,094,013.29/6,448.41
  6. Step 6: Final answer
    x = 4,046.58

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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.