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Finding the Fourth Proportional to 6,098.46, 9,145.77 and 1,993.50

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Solution

The fourth proportional to 6,098.46, 9,145.77 and 1,993.50 is: 2,989.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.46 : 9,145.77 = 1,993.50 : x
  2. Step 2: Convert to fraction form
    6,098.46/9,145.77 = 1,993.50/x
  3. Step 3: Cross multiply
    6,098.46x = 9,145.77 × 1,993.50
  4. Step 4: Simplify right side
    6,098.46x = 18,232,092.50
  5. Step 5: Solve for x
    x = 18,232,092.50/6,098.46
  6. Step 6: Final answer
    x = 2,989.62

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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.