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Finding the Fourth Proportional to 22,007.88, 33,005.16 and 7,966.20

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Solution

The fourth proportional to 22,007.88, 33,005.16 and 7,966.20 is: 11,946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,007.88 : 33,005.16 = 7,966.20 : x
  2. Step 2: Convert to fraction form
    22,007.88/33,005.16 = 7,966.20/x
  3. Step 3: Cross multiply
    22,007.88x = 33,005.16 × 7,966.20
  4. Step 4: Simplify right side
    22,007.88x = 262,925,705.59
  5. Step 5: Solve for x
    x = 262,925,705.59/22,007.88
  6. Step 6: Final answer
    x = 11,946.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.