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Finding the Fourth Proportional to 7,178.13, 9,906.93 and 4,193.91

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Solution

The fourth proportional to 7,178.13, 9,906.93 and 4,193.91 is: 5,788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.13 : 9,906.93 = 4,193.91 : x
  2. Step 2: Convert to fraction form
    7,178.13/9,906.93 = 4,193.91/x
  3. Step 3: Cross multiply
    7,178.13x = 9,906.93 × 4,193.91
  4. Step 4: Simplify right side
    7,178.13x = 41,548,772.80
  5. Step 5: Solve for x
    x = 41,548,772.80/7,178.13
  6. Step 6: Final answer
    x = 5,788.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.