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Finding the Fourth Proportional to 8,037.86, 12,046.53 and 6,993.50

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Solution

The fourth proportional to 8,037.86, 12,046.53 and 6,993.50 is: 10,481.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.86 : 12,046.53 = 6,993.50 : x
  2. Step 2: Convert to fraction form
    8,037.86/12,046.53 = 6,993.50/x
  3. Step 3: Cross multiply
    8,037.86x = 12,046.53 × 6,993.50
  4. Step 4: Simplify right side
    8,037.86x = 84,247,407.56
  5. Step 5: Solve for x
    x = 84,247,407.56/8,037.86
  6. Step 6: Final answer
    x = 10,481.32

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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.