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Finding the Fourth Proportional to 7,167.12, 10,751.16 and 1,902.06

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Solution

The fourth proportional to 7,167.12, 10,751.16 and 1,902.06 is: 2,853.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.12 : 10,751.16 = 1,902.06 : x
  2. Step 2: Convert to fraction form
    7,167.12/10,751.16 = 1,902.06/x
  3. Step 3: Cross multiply
    7,167.12x = 10,751.16 × 1,902.06
  4. Step 4: Simplify right side
    7,167.12x = 20,449,351.39
  5. Step 5: Solve for x
    x = 20,449,351.39/7,167.12
  6. Step 6: Final answer
    x = 2,853.22

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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.