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Finding the Fourth Proportional to 6,880.86, 10,322.01 and 2,264.22

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Solution

The fourth proportional to 6,880.86, 10,322.01 and 2,264.22 is: 3,396.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.86 : 10,322.01 = 2,264.22 : x
  2. Step 2: Convert to fraction form
    6,880.86/10,322.01 = 2,264.22/x
  3. Step 3: Cross multiply
    6,880.86x = 10,322.01 × 2,264.22
  4. Step 4: Simplify right side
    6,880.86x = 23,371,301.48
  5. Step 5: Solve for x
    x = 23,371,301.48/6,880.86
  6. Step 6: Final answer
    x = 3,396.57

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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.