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Finding the Fourth Proportional to 6,969.51, 10,446.93 and 3,268.80

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Solution

The fourth proportional to 6,969.51, 10,446.93 and 3,268.80 is: 4,899.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.51 : 10,446.93 = 3,268.80 : x
  2. Step 2: Convert to fraction form
    6,969.51/10,446.93 = 3,268.80/x
  3. Step 3: Cross multiply
    6,969.51x = 10,446.93 × 3,268.80
  4. Step 4: Simplify right side
    6,969.51x = 34,148,924.78
  5. Step 5: Solve for x
    x = 34,148,924.78/6,969.51
  6. Step 6: Final answer
    x = 4,899.76

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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.