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Finding the Fourth Proportional to 5,194.68, 7,790.68 and 1,496.20

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Solution

The fourth proportional to 5,194.68, 7,790.68 and 1,496.20 is: 2,243.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.68 : 7,790.68 = 1,496.20 : x
  2. Step 2: Convert to fraction form
    5,194.68/7,790.68 = 1,496.20/x
  3. Step 3: Cross multiply
    5,194.68x = 7,790.68 × 1,496.20
  4. Step 4: Simplify right side
    5,194.68x = 11,656,415.42
  5. Step 5: Solve for x
    x = 11,656,415.42/5,194.68
  6. Step 6: Final answer
    x = 2,243.91

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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.