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Finding the Fourth Proportional to 6,880, 10,320.24 and 2,263.36

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Solution

The fourth proportional to 6,880, 10,320.24 and 2,263.36 is: 3,395.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880 : 10,320.24 = 2,263.36 : x
  2. Step 2: Convert to fraction form
    6,880/10,320.24 = 2,263.36/x
  3. Step 3: Cross multiply
    6,880x = 10,320.24 × 2,263.36
  4. Step 4: Simplify right side
    6,880x = 23,358,418.41
  5. Step 5: Solve for x
    x = 23,358,418.41/6,880
  6. Step 6: Final answer
    x = 3,395.12

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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.