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Finding the Fourth Proportional to 16,574.50, 22,872.86 and 9,122.50

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Solution

The fourth proportional to 16,574.50, 22,872.86 and 9,122.50 is: 12,589.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,574.50 : 22,872.86 = 9,122.50 : x
  2. Step 2: Convert to fraction form
    16,574.50/22,872.86 = 9,122.50/x
  3. Step 3: Cross multiply
    16,574.50x = 22,872.86 × 9,122.50
  4. Step 4: Simplify right side
    16,574.50x = 208,657,665.35
  5. Step 5: Solve for x
    x = 208,657,665.35/16,574.50
  6. Step 6: Final answer
    x = 12,589.08

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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.