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Finding the Fourth Proportional to 16,411.44, 22,647 and 9,337.20

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Solution

The fourth proportional to 16,411.44, 22,647 and 9,337.20 is: 12,884.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.44 : 22,647 = 9,337.20 : x
  2. Step 2: Convert to fraction form
    16,411.44/22,647 = 9,337.20/x
  3. Step 3: Cross multiply
    16,411.44x = 22,647 × 9,337.20
  4. Step 4: Simplify right side
    16,411.44x = 211,459,568.40
  5. Step 5: Solve for x
    x = 211,459,568.40/16,411.44
  6. Step 6: Final answer
    x = 12,884.89

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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.