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Finding the Fourth Proportional to 6,896, 10,345.44 and 2,792

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Solution

The fourth proportional to 6,896, 10,345.44 and 2,792 is: 4,188.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896 : 10,345.44 = 2,792 : x
  2. Step 2: Convert to fraction form
    6,896/10,345.44 = 2,792/x
  3. Step 3: Cross multiply
    6,896x = 10,345.44 × 2,792
  4. Step 4: Simplify right side
    6,896x = 28,884,468.48
  5. Step 5: Solve for x
    x = 28,884,468.48/6,896
  6. Step 6: Final answer
    x = 4,188.58

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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.