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Finding the Fourth Proportional to 10,813.75, 14,922.98 and 5,845.75

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Solution

The fourth proportional to 10,813.75, 14,922.98 and 5,845.75 is: 8,067.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.75 : 14,922.98 = 5,845.75 : x
  2. Step 2: Convert to fraction form
    10,813.75/14,922.98 = 5,845.75/x
  3. Step 3: Cross multiply
    10,813.75x = 14,922.98 × 5,845.75
  4. Step 4: Simplify right side
    10,813.75x = 87,236,010.34
  5. Step 5: Solve for x
    x = 87,236,010.34/10,813.75
  6. Step 6: Final answer
    x = 8,067.14

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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.