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Finding the Fourth Proportional to 10,810.92, 14,919.09 and 5,842.92

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Solution

The fourth proportional to 10,810.92, 14,919.09 and 5,842.92 is: 8,063.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.92 : 14,919.09 = 5,842.92 : x
  2. Step 2: Convert to fraction form
    10,810.92/14,919.09 = 5,842.92/x
  3. Step 3: Cross multiply
    10,810.92x = 14,919.09 × 5,842.92
  4. Step 4: Simplify right side
    10,810.92x = 87,171,049.34
  5. Step 5: Solve for x
    x = 87,171,049.34/10,810.92
  6. Step 6: Final answer
    x = 8,063.24

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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.