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Finding the Fourth Proportional to 6,448.91, 9,671.28 and 2,065.32

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Solution

The fourth proportional to 6,448.91, 9,671.28 and 2,065.32 is: 3,097.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.91 : 9,671.28 = 2,065.32 : x
  2. Step 2: Convert to fraction form
    6,448.91/9,671.28 = 2,065.32/x
  3. Step 3: Cross multiply
    6,448.91x = 9,671.28 × 2,065.32
  4. Step 4: Simplify right side
    6,448.91x = 19,974,288.01
  5. Step 5: Solve for x
    x = 19,974,288.01/6,448.91
  6. Step 6: Final answer
    x = 3,097.31

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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.