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Finding the Fourth Proportional to 6,994.17, 9,654 and 4,163.52

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Solution

The fourth proportional to 6,994.17, 9,654 and 4,163.52 is: 5,746.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.17 : 9,654 = 4,163.52 : x
  2. Step 2: Convert to fraction form
    6,994.17/9,654 = 4,163.52/x
  3. Step 3: Cross multiply
    6,994.17x = 9,654 × 4,163.52
  4. Step 4: Simplify right side
    6,994.17x = 40,194,622.08
  5. Step 5: Solve for x
    x = 40,194,622.08/6,994.17
  6. Step 6: Final answer
    x = 5,746.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.