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Finding the Fourth Proportional to 6,966.49, 9,606.29 and 5,268.85

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Solution

The fourth proportional to 6,966.49, 9,606.29 and 5,268.85 is: 7,265.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.49 : 9,606.29 = 5,268.85 : x
  2. Step 2: Convert to fraction form
    6,966.49/9,606.29 = 5,268.85/x
  3. Step 3: Cross multiply
    6,966.49x = 9,606.29 × 5,268.85
  4. Step 4: Simplify right side
    6,966.49x = 50,614,066.21
  5. Step 5: Solve for x
    x = 50,614,066.21/6,966.49
  6. Step 6: Final answer
    x = 7,265.37

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1.5x scale

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.