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Finding the Fourth Proportional to 6,336, 9,507.84 and 2,688

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Solution

The fourth proportional to 6,336, 9,507.84 and 2,688 is: 4,033.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336 : 9,507.84 = 2,688 : x
  2. Step 2: Convert to fraction form
    6,336/9,507.84 = 2,688/x
  3. Step 3: Cross multiply
    6,336x = 9,507.84 × 2,688
  4. Step 4: Simplify right side
    6,336x = 25,557,073.92
  5. Step 5: Solve for x
    x = 25,557,073.92/6,336
  6. Step 6: Final answer
    x = 4,033.63

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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.