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Finding the Fourth Proportional to 8,113.50, 11,201.01 and 5,609.07

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Solution

The fourth proportional to 8,113.50, 11,201.01 and 5,609.07 is: 7,743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.50 : 11,201.01 = 5,609.07 : x
  2. Step 2: Convert to fraction form
    8,113.50/11,201.01 = 5,609.07/x
  3. Step 3: Cross multiply
    8,113.50x = 11,201.01 × 5,609.07
  4. Step 4: Simplify right side
    8,113.50x = 62,827,249.16
  5. Step 5: Solve for x
    x = 62,827,249.16/8,113.50
  6. Step 6: Final answer
    x = 7,743.54

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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.