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Finding the Fourth Proportional to 16,006.52, 22,089 and 9,293.52

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Solution

The fourth proportional to 16,006.52, 22,089 and 9,293.52 is: 12,825.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.52 : 22,089 = 9,293.52 : x
  2. Step 2: Convert to fraction form
    16,006.52/22,089 = 9,293.52/x
  3. Step 3: Cross multiply
    16,006.52x = 22,089 × 9,293.52
  4. Step 4: Simplify right side
    16,006.52x = 205,284,563.28
  5. Step 5: Solve for x
    x = 205,284,563.28/16,006.52
  6. Step 6: Final answer
    x = 12,825.06

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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.