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Finding the Fourth Proportional to 10,495.28, 14,481.98 and 6,019.22

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Solution

The fourth proportional to 10,495.28, 14,481.98 and 6,019.22 is: 8,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.28 : 14,481.98 = 6,019.22 : x
  2. Step 2: Convert to fraction form
    10,495.28/14,481.98 = 6,019.22/x
  3. Step 3: Cross multiply
    10,495.28x = 14,481.98 × 6,019.22
  4. Step 4: Simplify right side
    10,495.28x = 87,170,223.66
  5. Step 5: Solve for x
    x = 87,170,223.66/10,495.28
  6. Step 6: Final answer
    x = 8,305.66

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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.