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Finding the Fourth Proportional to 16,468.75, 22,721.21 and 9,297.75

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Solution

The fourth proportional to 16,468.75, 22,721.21 and 9,297.75 is: 12,827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,468.75 : 22,721.21 = 9,297.75 : x
  2. Step 2: Convert to fraction form
    16,468.75/22,721.21 = 9,297.75/x
  3. Step 3: Cross multiply
    16,468.75x = 22,721.21 × 9,297.75
  4. Step 4: Simplify right side
    16,468.75x = 211,256,203.86
  5. Step 5: Solve for x
    x = 211,256,203.86/16,468.75
  6. Step 6: Final answer
    x = 12,827.70

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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.