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Finding the Fourth Proportional to 6,969.01, 9,617.04 and 3,825.20

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Solution

The fourth proportional to 6,969.01, 9,617.04 and 3,825.20 is: 5,278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.01 : 9,617.04 = 3,825.20 : x
  2. Step 2: Convert to fraction form
    6,969.01/9,617.04 = 3,825.20/x
  3. Step 3: Cross multiply
    6,969.01x = 9,617.04 × 3,825.20
  4. Step 4: Simplify right side
    6,969.01x = 36,787,053.32
  5. Step 5: Solve for x
    x = 36,787,053.32/6,969.01
  6. Step 6: Final answer
    x = 5,278.66

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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.