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Finding the Fourth Proportional to 16,474.59, 22,735.04 and 9,206.68

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Solution

The fourth proportional to 16,474.59, 22,735.04 and 9,206.68 is: 12,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.59 : 22,735.04 = 9,206.68 : x
  2. Step 2: Convert to fraction form
    16,474.59/22,735.04 = 9,206.68/x
  3. Step 3: Cross multiply
    16,474.59x = 22,735.04 × 9,206.68
  4. Step 4: Simplify right side
    16,474.59x = 209,314,238.07
  5. Step 5: Solve for x
    x = 209,314,238.07/16,474.59
  6. Step 6: Final answer
    x = 12,705.28

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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.