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Finding the Fourth Proportional to 6,429.71, 9,645.64 and 2,048.51

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Solution

The fourth proportional to 6,429.71, 9,645.64 and 2,048.51 is: 3,073.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.71 : 9,645.64 = 2,048.51 : x
  2. Step 2: Convert to fraction form
    6,429.71/9,645.64 = 2,048.51/x
  3. Step 3: Cross multiply
    6,429.71x = 9,645.64 × 2,048.51
  4. Step 4: Simplify right side
    6,429.71x = 19,759,136.65
  5. Step 5: Solve for x
    x = 19,759,136.65/6,429.71
  6. Step 6: Final answer
    x = 3,073.10

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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.