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Finding the Fourth Proportional to 6,896.07, 9,516.76 and 3,752.26

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Solution

The fourth proportional to 6,896.07, 9,516.76 and 3,752.26 is: 5,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.07 : 9,516.76 = 3,752.26 : x
  2. Step 2: Convert to fraction form
    6,896.07/9,516.76 = 3,752.26/x
  3. Step 3: Cross multiply
    6,896.07x = 9,516.76 × 3,752.26
  4. Step 4: Simplify right side
    6,896.07x = 35,709,324.71
  5. Step 5: Solve for x
    x = 35,709,324.71/6,896.07
  6. Step 6: Final answer
    x = 5,178.21

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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.