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Finding the Fourth Proportional to 5,166.88, 7,132.15 and 3,071

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Solution

The fourth proportional to 5,166.88, 7,132.15 and 3,071 is: 4,239.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.88 : 7,132.15 = 3,071 : x
  2. Step 2: Convert to fraction form
    5,166.88/7,132.15 = 3,071/x
  3. Step 3: Cross multiply
    5,166.88x = 7,132.15 × 3,071
  4. Step 4: Simplify right side
    5,166.88x = 21,902,832.65
  5. Step 5: Solve for x
    x = 21,902,832.65/5,166.88
  6. Step 6: Final answer
    x = 4,239.08

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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.