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Finding the Fourth Proportional to 6,426.35, 9,640.29 and 2,265.50

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Solution

The fourth proportional to 6,426.35, 9,640.29 and 2,265.50 is: 3,398.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.35 : 9,640.29 = 2,265.50 : x
  2. Step 2: Convert to fraction form
    6,426.35/9,640.29 = 2,265.50/x
  3. Step 3: Cross multiply
    6,426.35x = 9,640.29 × 2,265.50
  4. Step 4: Simplify right side
    6,426.35x = 21,840,055.36
  5. Step 5: Solve for x
    x = 21,840,055.36/6,426.35
  6. Step 6: Final answer
    x = 3,398.52

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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.