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Finding the Fourth Proportional to 22,652.41, 33,943.98 and 9,497.61

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Solution

The fourth proportional to 22,652.41, 33,943.98 and 9,497.61 is: 14,231.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,652.41 : 33,943.98 = 9,497.61 : x
  2. Step 2: Convert to fraction form
    22,652.41/33,943.98 = 9,497.61/x
  3. Step 3: Cross multiply
    22,652.41x = 33,943.98 × 9,497.61
  4. Step 4: Simplify right side
    22,652.41x = 322,386,683.89
  5. Step 5: Solve for x
    x = 322,386,683.89/22,652.41
  6. Step 6: Final answer
    x = 14,231.89

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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.