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Finding the Fourth Proportional to 8,443.44, 11,656.89 and 5,794.74

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Solution

The fourth proportional to 8,443.44, 11,656.89 and 5,794.74 is: 8,000.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.44 : 11,656.89 = 5,794.74 : x
  2. Step 2: Convert to fraction form
    8,443.44/11,656.89 = 5,794.74/x
  3. Step 3: Cross multiply
    8,443.44x = 11,656.89 × 5,794.74
  4. Step 4: Simplify right side
    8,443.44x = 67,548,646.76
  5. Step 5: Solve for x
    x = 67,548,646.76/8,443.44
  6. Step 6: Final answer
    x = 8,000.13

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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.