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Finding the Fourth Proportional to 16,283, 22,470.54 and 9,209.27

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Solution

The fourth proportional to 16,283, 22,470.54 and 9,209.27 is: 12,708.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283 : 22,470.54 = 9,209.27 : x
  2. Step 2: Convert to fraction form
    16,283/22,470.54 = 9,209.27/x
  3. Step 3: Cross multiply
    16,283x = 22,470.54 × 9,209.27
  4. Step 4: Simplify right side
    16,283x = 206,937,269.91
  5. Step 5: Solve for x
    x = 206,937,269.91/16,283
  6. Step 6: Final answer
    x = 12,708.79

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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.