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Finding the Fourth Proportional to 22,796.34, 34,190.16 and 9,657.96

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Solution

The fourth proportional to 22,796.34, 34,190.16 and 9,657.96 is: 14,485.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,796.34 : 34,190.16 = 9,657.96 : x
  2. Step 2: Convert to fraction form
    22,796.34/34,190.16 = 9,657.96/x
  3. Step 3: Cross multiply
    22,796.34x = 34,190.16 × 9,657.96
  4. Step 4: Simplify right side
    22,796.34x = 330,207,197.67
  5. Step 5: Solve for x
    x = 330,207,197.67/22,796.34
  6. Step 6: Final answer
    x = 14,485.10

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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.