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Finding the Fourth Proportional to 6,883.79, 10,325.68 and 1,689.66

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Solution

The fourth proportional to 6,883.79, 10,325.68 and 1,689.66 is: 2,534.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.79 : 10,325.68 = 1,689.66 : x
  2. Step 2: Convert to fraction form
    6,883.79/10,325.68 = 1,689.66/x
  3. Step 3: Cross multiply
    6,883.79x = 10,325.68 × 1,689.66
  4. Step 4: Simplify right side
    6,883.79x = 17,446,884.24
  5. Step 5: Solve for x
    x = 17,446,884.24/6,883.79
  6. Step 6: Final answer
    x = 2,534.49

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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.