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Finding the Fourth Proportional to 10,867.44, 16,309.41 and 7,168.44

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Solution

The fourth proportional to 10,867.44, 16,309.41 and 7,168.44 is: 10,758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,867.44 : 16,309.41 = 7,168.44 : x
  2. Step 2: Convert to fraction form
    10,867.44/16,309.41 = 7,168.44/x
  3. Step 3: Cross multiply
    10,867.44x = 16,309.41 × 7,168.44
  4. Step 4: Simplify right side
    10,867.44x = 116,913,027.02
  5. Step 5: Solve for x
    x = 116,913,027.02/10,867.44
  6. Step 6: Final answer
    x = 10,758.10

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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.