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Finding the Fourth Proportional to 6,172.82, 9,253.07 and 3,983.08

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Solution

The fourth proportional to 6,172.82, 9,253.07 and 3,983.08 is: 5,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.82 : 9,253.07 = 3,983.08 : x
  2. Step 2: Convert to fraction form
    6,172.82/9,253.07 = 3,983.08/x
  3. Step 3: Cross multiply
    6,172.82x = 9,253.07 × 3,983.08
  4. Step 4: Simplify right side
    6,172.82x = 36,855,718.06
  5. Step 5: Solve for x
    x = 36,855,718.06/6,172.82
  6. Step 6: Final answer
    x = 5,970.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.