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Finding the Fourth Proportional to 6,969.57, 9,617.72 and 3,825.56

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Solution

The fourth proportional to 6,969.57, 9,617.72 and 3,825.56 is: 5,279.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.57 : 9,617.72 = 3,825.56 : x
  2. Step 2: Convert to fraction form
    6,969.57/9,617.72 = 3,825.56/x
  3. Step 3: Cross multiply
    6,969.57x = 9,617.72 × 3,825.56
  4. Step 4: Simplify right side
    6,969.57x = 36,793,097.71
  5. Step 5: Solve for x
    x = 36,793,097.71/6,969.57
  6. Step 6: Final answer
    x = 5,279.11

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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.