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Finding the Fourth Proportional to 6,435.81, 9,655.25 and 2,738.16

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Solution

The fourth proportional to 6,435.81, 9,655.25 and 2,738.16 is: 4,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.81 : 9,655.25 = 2,738.16 : x
  2. Step 2: Convert to fraction form
    6,435.81/9,655.25 = 2,738.16/x
  3. Step 3: Cross multiply
    6,435.81x = 9,655.25 × 2,738.16
  4. Step 4: Simplify right side
    6,435.81x = 26,437,605.65
  5. Step 5: Solve for x
    x = 26,437,605.65/6,435.81
  6. Step 6: Final answer
    x = 4,107.89

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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.