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Finding the Fourth Proportional to 6,880.50, 10,320.75 and 1,686.42

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Solution

The fourth proportional to 6,880.50, 10,320.75 and 1,686.42 is: 2,529.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.50 : 10,320.75 = 1,686.42 : x
  2. Step 2: Convert to fraction form
    6,880.50/10,320.75 = 1,686.42/x
  3. Step 3: Cross multiply
    6,880.50x = 10,320.75 × 1,686.42
  4. Step 4: Simplify right side
    6,880.50x = 17,405,119.22
  5. Step 5: Solve for x
    x = 17,405,119.22/6,880.50
  6. Step 6: Final answer
    x = 2,529.63

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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.