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Finding the Fourth Proportional to 6,994.64, 9,651.82 and 4,009.66

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Solution

The fourth proportional to 6,994.64, 9,651.82 and 4,009.66 is: 5,532.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.64 : 9,651.82 = 4,009.66 : x
  2. Step 2: Convert to fraction form
    6,994.64/9,651.82 = 4,009.66/x
  3. Step 3: Cross multiply
    6,994.64x = 9,651.82 × 4,009.66
  4. Step 4: Simplify right side
    6,994.64x = 38,700,516.58
  5. Step 5: Solve for x
    x = 38,700,516.58/6,994.64
  6. Step 6: Final answer
    x = 5,532.88

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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.