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Finding the Fourth Proportional to 16,101, 22,215.18 and 9,293.36

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Solution

The fourth proportional to 16,101, 22,215.18 and 9,293.36 is: 12,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,101 : 22,215.18 = 9,293.36 : x
  2. Step 2: Convert to fraction form
    16,101/22,215.18 = 9,293.36/x
  3. Step 3: Cross multiply
    16,101x = 22,215.18 × 9,293.36
  4. Step 4: Simplify right side
    16,101x = 206,453,507.66
  5. Step 5: Solve for x
    x = 206,453,507.66/16,101
  6. Step 6: Final answer
    x = 12,822.40

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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.