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Finding the Fourth Proportional to 10,800.74, 16,198.08 and 6,846.12

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Solution

The fourth proportional to 10,800.74, 16,198.08 and 6,846.12 is: 10,267.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,800.74 : 16,198.08 = 6,846.12 : x
  2. Step 2: Convert to fraction form
    10,800.74/16,198.08 = 6,846.12/x
  3. Step 3: Cross multiply
    10,800.74x = 16,198.08 × 6,846.12
  4. Step 4: Simplify right side
    10,800.74x = 110,893,999.45
  5. Step 5: Solve for x
    x = 110,893,999.45/10,800.74
  6. Step 6: Final answer
    x = 10,267.26

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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.