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Finding the Fourth Proportional to 6,964.65, 10,447.46 and 2,804.68

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Solution

The fourth proportional to 6,964.65, 10,447.46 and 2,804.68 is: 4,207.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.65 : 10,447.46 = 2,804.68 : x
  2. Step 2: Convert to fraction form
    6,964.65/10,447.46 = 2,804.68/x
  3. Step 3: Cross multiply
    6,964.65x = 10,447.46 × 2,804.68
  4. Step 4: Simplify right side
    6,964.65x = 29,301,748.68
  5. Step 5: Solve for x
    x = 29,301,748.68/6,964.65
  6. Step 6: Final answer
    x = 4,207.21

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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.