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Finding the Fourth Proportional to 22,005.76, 32,995.46 and 7,006.40

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Solution

The fourth proportional to 22,005.76, 32,995.46 and 7,006.40 is: 10,505.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,005.76 : 32,995.46 = 7,006.40 : x
  2. Step 2: Convert to fraction form
    22,005.76/32,995.46 = 7,006.40/x
  3. Step 3: Cross multiply
    22,005.76x = 32,995.46 × 7,006.40
  4. Step 4: Simplify right side
    22,005.76x = 231,179,390.94
  5. Step 5: Solve for x
    x = 231,179,390.94/22,005.76
  6. Step 6: Final answer
    x = 10,505.40

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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.