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Finding the Fourth Proportional to 22,997.63, 34,509.74 and 9,669.56

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Solution

The fourth proportional to 22,997.63, 34,509.74 and 9,669.56 is: 14,509.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,997.63 : 34,509.74 = 9,669.56 : x
  2. Step 2: Convert to fraction form
    22,997.63/34,509.74 = 9,669.56/x
  3. Step 3: Cross multiply
    22,997.63x = 34,509.74 × 9,669.56
  4. Step 4: Simplify right side
    22,997.63x = 333,693,780.62
  5. Step 5: Solve for x
    x = 333,693,780.62/22,997.63
  6. Step 6: Final answer
    x = 14,509.92

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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.