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Finding the Fourth Proportional to 16,366, 22,585.56 and 8,914.48

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Solution

The fourth proportional to 16,366, 22,585.56 and 8,914.48 is: 12,302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,366 : 22,585.56 = 8,914.48 : x
  2. Step 2: Convert to fraction form
    16,366/22,585.56 = 8,914.48/x
  3. Step 3: Cross multiply
    16,366x = 22,585.56 × 8,914.48
  4. Step 4: Simplify right side
    16,366x = 201,338,522.91
  5. Step 5: Solve for x
    x = 201,338,522.91/16,366
  6. Step 6: Final answer
    x = 12,302.24

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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.