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Finding the Fourth Proportional to 8,051, 11,106.60 and 5,694.44

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Solution

The fourth proportional to 8,051, 11,106.60 and 5,694.44 is: 7,855.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051 : 11,106.60 = 5,694.44 : x
  2. Step 2: Convert to fraction form
    8,051/11,106.60 = 5,694.44/x
  3. Step 3: Cross multiply
    8,051x = 11,106.60 × 5,694.44
  4. Step 4: Simplify right side
    8,051x = 63,245,867.30
  5. Step 5: Solve for x
    x = 63,245,867.30/8,051
  6. Step 6: Final answer
    x = 7,855.65

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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.