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Finding the Fourth Proportional to 6,681.36, 9,224.16 and 5,943.18

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Solution

The fourth proportional to 6,681.36, 9,224.16 and 5,943.18 is: 8,205.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.36 : 9,224.16 = 5,943.18 : x
  2. Step 2: Convert to fraction form
    6,681.36/9,224.16 = 5,943.18/x
  3. Step 3: Cross multiply
    6,681.36x = 9,224.16 × 5,943.18
  4. Step 4: Simplify right side
    6,681.36x = 54,820,843.23
  5. Step 5: Solve for x
    x = 54,820,843.23/6,681.36
  6. Step 6: Final answer
    x = 8,205.04

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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.