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Finding the Fourth Proportional to 10,805.75, 14,911.94 and 5,837.75

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Solution

The fourth proportional to 10,805.75, 14,911.94 and 5,837.75 is: 8,056.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.75 : 14,911.94 = 5,837.75 : x
  2. Step 2: Convert to fraction form
    10,805.75/14,911.94 = 5,837.75/x
  3. Step 3: Cross multiply
    10,805.75x = 14,911.94 × 5,837.75
  4. Step 4: Simplify right side
    10,805.75x = 87,052,177.74
  5. Step 5: Solve for x
    x = 87,052,177.74/10,805.75
  6. Step 6: Final answer
    x = 8,056.10

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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.