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Finding the Fourth Proportional to 6,074.67, 9,108.90 and 2,124.30

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Solution

The fourth proportional to 6,074.67, 9,108.90 and 2,124.30 is: 3,185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.67 : 9,108.90 = 2,124.30 : x
  2. Step 2: Convert to fraction form
    6,074.67/9,108.90 = 2,124.30/x
  3. Step 3: Cross multiply
    6,074.67x = 9,108.90 × 2,124.30
  4. Step 4: Simplify right side
    6,074.67x = 19,350,036.27
  5. Step 5: Solve for x
    x = 19,350,036.27/6,074.67
  6. Step 6: Final answer
    x = 3,185.36

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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.