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Finding the Fourth Proportional to 10,027.96, 15,069.17 and 5,351.22

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Solution

The fourth proportional to 10,027.96, 15,069.17 and 5,351.22 is: 8,041.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.96 : 15,069.17 = 5,351.22 : x
  2. Step 2: Convert to fraction form
    10,027.96/15,069.17 = 5,351.22/x
  3. Step 3: Cross multiply
    10,027.96x = 15,069.17 × 5,351.22
  4. Step 4: Simplify right side
    10,027.96x = 80,638,457.27
  5. Step 5: Solve for x
    x = 80,638,457.27/10,027.96
  6. Step 6: Final answer
    x = 8,041.36

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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.