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Finding the Fourth Proportional to 16,303.66, 22,504.41 and 9,589

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Solution

The fourth proportional to 16,303.66, 22,504.41 and 9,589 is: 13,235.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,303.66 : 22,504.41 = 9,589 : x
  2. Step 2: Convert to fraction form
    16,303.66/22,504.41 = 9,589/x
  3. Step 3: Cross multiply
    16,303.66x = 22,504.41 × 9,589
  4. Step 4: Simplify right side
    16,303.66x = 215,794,787.49
  5. Step 5: Solve for x
    x = 215,794,787.49/16,303.66
  6. Step 6: Final answer
    x = 13,235.97

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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.