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Finding the Fourth Proportional to 16,555.25, 22,846.25 and 9,103.25

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Solution

The fourth proportional to 16,555.25, 22,846.25 and 9,103.25 is: 12,562.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,555.25 : 22,846.25 = 9,103.25 : x
  2. Step 2: Convert to fraction form
    16,555.25/22,846.25 = 9,103.25/x
  3. Step 3: Cross multiply
    16,555.25x = 22,846.25 × 9,103.25
  4. Step 4: Simplify right side
    16,555.25x = 207,975,125.31
  5. Step 5: Solve for x
    x = 207,975,125.31/16,555.25
  6. Step 6: Final answer
    x = 12,562.49

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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.