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Finding the Fourth Proportional to 6,529.29, 9,793 and 2,087.46

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Solution

The fourth proportional to 6,529.29, 9,793 and 2,087.46 is: 3,130.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.29 : 9,793 = 2,087.46 : x
  2. Step 2: Convert to fraction form
    6,529.29/9,793 = 2,087.46/x
  3. Step 3: Cross multiply
    6,529.29x = 9,793 × 2,087.46
  4. Step 4: Simplify right side
    6,529.29x = 20,442,495.78
  5. Step 5: Solve for x
    x = 20,442,495.78/6,529.29
  6. Step 6: Final answer
    x = 3,130.89

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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.