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Finding the Fourth Proportional to 16,574.88, 22,874.36 and 9,502.37

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Solution

The fourth proportional to 16,574.88, 22,874.36 and 9,502.37 is: 13,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,574.88 : 22,874.36 = 9,502.37 : x
  2. Step 2: Convert to fraction form
    16,574.88/22,874.36 = 9,502.37/x
  3. Step 3: Cross multiply
    16,574.88x = 22,874.36 × 9,502.37
  4. Step 4: Simplify right side
    16,574.88x = 217,360,470.35
  5. Step 5: Solve for x
    x = 217,360,470.35/16,574.88
  6. Step 6: Final answer
    x = 13,113.85

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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.