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Finding the Fourth Proportional to 4,534.92, 6,809.94 and 4,193.91

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Solution

The fourth proportional to 4,534.92, 6,809.94 and 4,193.91 is: 6,297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.92 : 6,809.94 = 4,193.91 : x
  2. Step 2: Convert to fraction form
    4,534.92/6,809.94 = 4,193.91/x
  3. Step 3: Cross multiply
    4,534.92x = 6,809.94 × 4,193.91
  4. Step 4: Simplify right side
    4,534.92x = 28,560,275.47
  5. Step 5: Solve for x
    x = 28,560,275.47/4,534.92
  6. Step 6: Final answer
    x = 6,297.86

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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.