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Finding the Fourth Proportional to 22,997.74, 34,509.92 and 9,669.68

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Solution

The fourth proportional to 22,997.74, 34,509.92 and 9,669.68 is: 14,510.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,997.74 : 34,509.92 = 9,669.68 : x
  2. Step 2: Convert to fraction form
    22,997.74/34,509.92 = 9,669.68/x
  3. Step 3: Cross multiply
    22,997.74x = 34,509.92 × 9,669.68
  4. Step 4: Simplify right side
    22,997.74x = 333,699,883.23
  5. Step 5: Solve for x
    x = 333,699,883.23/22,997.74
  6. Step 6: Final answer
    x = 14,510.12

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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.