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Finding the Fourth Proportional to 22,647.12, 33,970.62 and 8,607.12

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Solution

The fourth proportional to 22,647.12, 33,970.62 and 8,607.12 is: 12,910.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,647.12 : 33,970.62 = 8,607.12 : x
  2. Step 2: Convert to fraction form
    22,647.12/33,970.62 = 8,607.12/x
  3. Step 3: Cross multiply
    22,647.12x = 33,970.62 × 8,607.12
  4. Step 4: Simplify right side
    22,647.12x = 292,389,202.81
  5. Step 5: Solve for x
    x = 292,389,202.81/22,647.12
  6. Step 6: Final answer
    x = 12,910.66

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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.