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Finding the Fourth Proportional to 9,164.60, 13,765.31 and 8,906.21

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Solution

The fourth proportional to 9,164.60, 13,765.31 and 8,906.21 is: 13,377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.60 : 13,765.31 = 8,906.21 : x
  2. Step 2: Convert to fraction form
    9,164.60/13,765.31 = 8,906.21/x
  3. Step 3: Cross multiply
    9,164.60x = 13,765.31 × 8,906.21
  4. Step 4: Simplify right side
    9,164.60x = 122,596,628.22
  5. Step 5: Solve for x
    x = 122,596,628.22/9,164.60
  6. Step 6: Final answer
    x = 13,377.20

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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.