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Finding the Fourth Proportional to 5,867.62, 8,097.26 and 3,178.84

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Solution

The fourth proportional to 5,867.62, 8,097.26 and 3,178.84 is: 4,386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.62 : 8,097.26 = 3,178.84 : x
  2. Step 2: Convert to fraction form
    5,867.62/8,097.26 = 3,178.84/x
  3. Step 3: Cross multiply
    5,867.62x = 8,097.26 × 3,178.84
  4. Step 4: Simplify right side
    5,867.62x = 25,739,893.98
  5. Step 5: Solve for x
    x = 25,739,893.98/5,867.62
  6. Step 6: Final answer
    x = 4,386.77

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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.