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Finding the Fourth Proportional to 16,024.34, 22,112 and 9,310.25

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Solution

The fourth proportional to 16,024.34, 22,112 and 9,310.25 is: 12,847.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024.34 : 22,112 = 9,310.25 : x
  2. Step 2: Convert to fraction form
    16,024.34/22,112 = 9,310.25/x
  3. Step 3: Cross multiply
    16,024.34x = 22,112 × 9,310.25
  4. Step 4: Simplify right side
    16,024.34x = 205,868,137.44
  5. Step 5: Solve for x
    x = 205,868,137.44/16,024.34
  6. Step 6: Final answer
    x = 12,847.22

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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.