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Finding the Fourth Proportional to 5,166.54, 7,743.96 and 4,246.20

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Solution

The fourth proportional to 5,166.54, 7,743.96 and 4,246.20 is: 6,364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.54 : 7,743.96 = 4,246.20 : x
  2. Step 2: Convert to fraction form
    5,166.54/7,743.96 = 4,246.20/x
  3. Step 3: Cross multiply
    5,166.54x = 7,743.96 × 4,246.20
  4. Step 4: Simplify right side
    5,166.54x = 32,882,402.95
  5. Step 5: Solve for x
    x = 32,882,402.95/5,166.54
  6. Step 6: Final answer
    x = 6,364.49

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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.