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Finding the Fourth Proportional to 16,100, 22,210.44 and 11,386.88

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Solution

The fourth proportional to 16,100, 22,210.44 and 11,386.88 is: 15,708.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,100 : 22,210.44 = 11,386.88 : x
  2. Step 2: Convert to fraction form
    16,100/22,210.44 = 11,386.88/x
  3. Step 3: Cross multiply
    16,100x = 22,210.44 × 11,386.88
  4. Step 4: Simplify right side
    16,100x = 252,907,615.03
  5. Step 5: Solve for x
    x = 252,907,615.03/16,100
  6. Step 6: Final answer
    x = 15,708.55

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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.