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Finding the Fourth Proportional to 16,291.66, 22,483 and 9,217.94

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Solution

The fourth proportional to 16,291.66, 22,483 and 9,217.94 is: 12,721.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,291.66 : 22,483 = 9,217.94 : x
  2. Step 2: Convert to fraction form
    16,291.66/22,483 = 9,217.94/x
  3. Step 3: Cross multiply
    16,291.66x = 22,483 × 9,217.94
  4. Step 4: Simplify right side
    16,291.66x = 207,246,945.02
  5. Step 5: Solve for x
    x = 207,246,945.02/16,291.66
  6. Step 6: Final answer
    x = 12,721.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.