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Finding the Fourth Proportional to 6,527.97, 9,007.74 and 3,695.49

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Solution

The fourth proportional to 6,527.97, 9,007.74 and 3,695.49 is: 5,099.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.97 : 9,007.74 = 3,695.49 : x
  2. Step 2: Convert to fraction form
    6,527.97/9,007.74 = 3,695.49/x
  3. Step 3: Cross multiply
    6,527.97x = 9,007.74 × 3,695.49
  4. Step 4: Simplify right side
    6,527.97x = 33,288,013.09
  5. Step 5: Solve for x
    x = 33,288,013.09/6,527.97
  6. Step 6: Final answer
    x = 5,099.29

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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.