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Finding the Fourth Proportional to 8,107.70, 11,186.05 and 4,570.22

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Solution

The fourth proportional to 8,107.70, 11,186.05 and 4,570.22 is: 6,305.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.70 : 11,186.05 = 4,570.22 : x
  2. Step 2: Convert to fraction form
    8,107.70/11,186.05 = 4,570.22/x
  3. Step 3: Cross multiply
    8,107.70x = 11,186.05 × 4,570.22
  4. Step 4: Simplify right side
    8,107.70x = 51,122,734.54
  5. Step 5: Solve for x
    x = 51,122,734.54/8,107.70
  6. Step 6: Final answer
    x = 6,305.46

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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.