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Finding the Fourth Proportional to 22,431.57, 33,647.62 and 9,607

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Solution

The fourth proportional to 22,431.57, 33,647.62 and 9,607 is: 14,410.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,431.57 : 33,647.62 = 9,607 : x
  2. Step 2: Convert to fraction form
    22,431.57/33,647.62 = 9,607/x
  3. Step 3: Cross multiply
    22,431.57x = 33,647.62 × 9,607
  4. Step 4: Simplify right side
    22,431.57x = 323,252,685.34
  5. Step 5: Solve for x
    x = 323,252,685.34/22,431.57
  6. Step 6: Final answer
    x = 14,410.61

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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.