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Finding the Fourth Proportional to 16,574.63, 22,872.98 and 9,122.63

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Solution

The fourth proportional to 16,574.63, 22,872.98 and 9,122.63 is: 12,589.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,574.63 : 22,872.98 = 9,122.63 : x
  2. Step 2: Convert to fraction form
    16,574.63/22,872.98 = 9,122.63/x
  3. Step 3: Cross multiply
    16,574.63x = 22,872.98 × 9,122.63
  4. Step 4: Simplify right side
    16,574.63x = 208,661,641.98
  5. Step 5: Solve for x
    x = 208,661,641.98/16,574.63
  6. Step 6: Final answer
    x = 12,589.22

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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.