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Finding the Fourth Proportional to 10,311.76, 14,230.07 and 5,836.39

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Solution

The fourth proportional to 10,311.76, 14,230.07 and 5,836.39 is: 8,054.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.76 : 14,230.07 = 5,836.39 : x
  2. Step 2: Convert to fraction form
    10,311.76/14,230.07 = 5,836.39/x
  3. Step 3: Cross multiply
    10,311.76x = 14,230.07 × 5,836.39
  4. Step 4: Simplify right side
    10,311.76x = 83,052,137.92
  5. Step 5: Solve for x
    x = 83,052,137.92/10,311.76
  6. Step 6: Final answer
    x = 8,054.12

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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.