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Finding the Fourth Proportional to 6,855.17, 10,282.66 and 1,661.01

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Solution

The fourth proportional to 6,855.17, 10,282.66 and 1,661.01 is: 2,491.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.17 : 10,282.66 = 1,661.01 : x
  2. Step 2: Convert to fraction form
    6,855.17/10,282.66 = 1,661.01/x
  3. Step 3: Cross multiply
    6,855.17x = 10,282.66 × 1,661.01
  4. Step 4: Simplify right side
    6,855.17x = 17,079,592.78
  5. Step 5: Solve for x
    x = 17,079,592.78/6,855.17
  6. Step 6: Final answer
    x = 2,491.49

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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.