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Finding the Fourth Proportional to 7,937.93, 11,911.82 and 3,006.92

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Solution

The fourth proportional to 7,937.93, 11,911.82 and 3,006.92 is: 4,512.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.93 : 11,911.82 = 3,006.92 : x
  2. Step 2: Convert to fraction form
    7,937.93/11,911.82 = 3,006.92/x
  3. Step 3: Cross multiply
    7,937.93x = 11,911.82 × 3,006.92
  4. Step 4: Simplify right side
    7,937.93x = 35,817,815.20
  5. Step 5: Solve for x
    x = 35,817,815.20/7,937.93
  6. Step 6: Final answer
    x = 4,512.24

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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.