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Finding the Fourth Proportional to 10,495.59, 14,481.14 and 5,958.27

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Solution

The fourth proportional to 10,495.59, 14,481.14 and 5,958.27 is: 8,220.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.59 : 14,481.14 = 5,958.27 : x
  2. Step 2: Convert to fraction form
    10,495.59/14,481.14 = 5,958.27/x
  3. Step 3: Cross multiply
    10,495.59x = 14,481.14 × 5,958.27
  4. Step 4: Simplify right side
    10,495.59x = 86,282,512.24
  5. Step 5: Solve for x
    x = 86,282,512.24/10,495.59
  6. Step 6: Final answer
    x = 8,220.83

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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.