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Finding the Fourth Proportional to 8,029.94, 12,046.37 and 3,347.63

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Solution

The fourth proportional to 8,029.94, 12,046.37 and 3,347.63 is: 5,022.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.94 : 12,046.37 = 3,347.63 : x
  2. Step 2: Convert to fraction form
    8,029.94/12,046.37 = 3,347.63/x
  3. Step 3: Cross multiply
    8,029.94x = 12,046.37 × 3,347.63
  4. Step 4: Simplify right side
    8,029.94x = 40,326,776.64
  5. Step 5: Solve for x
    x = 40,326,776.64/8,029.94
  6. Step 6: Final answer
    x = 5,022.06

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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.