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Finding the Fourth Proportional to 16,276.32, 22,460.22 and 9,202.32

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Solution

The fourth proportional to 16,276.32, 22,460.22 and 9,202.32 is: 12,698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,276.32 : 22,460.22 = 9,202.32 : x
  2. Step 2: Convert to fraction form
    16,276.32/22,460.22 = 9,202.32/x
  3. Step 3: Cross multiply
    16,276.32x = 22,460.22 × 9,202.32
  4. Step 4: Simplify right side
    16,276.32x = 206,686,131.71
  5. Step 5: Solve for x
    x = 206,686,131.71/16,276.32
  6. Step 6: Final answer
    x = 12,698.58

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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.