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Finding the Fourth Proportional to 16,462.84, 22,720.92 and 9,747.94

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Solution

The fourth proportional to 16,462.84, 22,720.92 and 9,747.94 is: 13,453.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462.84 : 22,720.92 = 9,747.94 : x
  2. Step 2: Convert to fraction form
    16,462.84/22,720.92 = 9,747.94/x
  3. Step 3: Cross multiply
    16,462.84x = 22,720.92 × 9,747.94
  4. Step 4: Simplify right side
    16,462.84x = 221,482,164.90
  5. Step 5: Solve for x
    x = 221,482,164.90/16,462.84
  6. Step 6: Final answer
    x = 13,453.46

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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.