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Finding the Fourth Proportional to 6,964.64, 10,446.80 and 1,699.70

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Solution

The fourth proportional to 6,964.64, 10,446.80 and 1,699.70 is: 2,549.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.64 : 10,446.80 = 1,699.70 : x
  2. Step 2: Convert to fraction form
    6,964.64/10,446.80 = 1,699.70/x
  3. Step 3: Cross multiply
    6,964.64x = 10,446.80 × 1,699.70
  4. Step 4: Simplify right side
    6,964.64x = 17,756,373.73
  5. Step 5: Solve for x
    x = 17,756,373.73/6,964.64
  6. Step 6: Final answer
    x = 2,549.51

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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.