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Finding the Fourth Proportional to 6,143.04, 9,161.10 and 5,797.98

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Solution

The fourth proportional to 6,143.04, 9,161.10 and 5,797.98 is: 8,646.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.04 : 9,161.10 = 5,797.98 : x
  2. Step 2: Convert to fraction form
    6,143.04/9,161.10 = 5,797.98/x
  3. Step 3: Cross multiply
    6,143.04x = 9,161.10 × 5,797.98
  4. Step 4: Simplify right side
    6,143.04x = 53,115,874.58
  5. Step 5: Solve for x
    x = 53,115,874.58/6,143.04
  6. Step 6: Final answer
    x = 8,646.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.