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Finding the Fourth Proportional to 5,197, 7,793.64 and 1,498.24

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Solution

The fourth proportional to 5,197, 7,793.64 and 1,498.24 is: 2,246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197 : 7,793.64 = 1,498.24 : x
  2. Step 2: Convert to fraction form
    5,197/7,793.64 = 1,498.24/x
  3. Step 3: Cross multiply
    5,197x = 7,793.64 × 1,498.24
  4. Step 4: Simplify right side
    5,197x = 11,676,743.19
  5. Step 5: Solve for x
    x = 11,676,743.19/5,197
  6. Step 6: Final answer
    x = 2,246.82

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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.