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Finding the Fourth Proportional to 9,640.75, 13,304.24 and 5,224.75

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Solution

The fourth proportional to 9,640.75, 13,304.24 and 5,224.75 is: 7,210.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.75 : 13,304.24 = 5,224.75 : x
  2. Step 2: Convert to fraction form
    9,640.75/13,304.24 = 5,224.75/x
  3. Step 3: Cross multiply
    9,640.75x = 13,304.24 × 5,224.75
  4. Step 4: Simplify right side
    9,640.75x = 69,511,327.94
  5. Step 5: Solve for x
    x = 69,511,327.94/9,640.75
  6. Step 6: Final answer
    x = 7,210.16

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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.