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Finding the Fourth Proportional to 16,495, 22,757.70 and 9,323.80

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Solution

The fourth proportional to 16,495, 22,757.70 and 9,323.80 is: 12,863.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,495 : 22,757.70 = 9,323.80 : x
  2. Step 2: Convert to fraction form
    16,495/22,757.70 = 9,323.80/x
  3. Step 3: Cross multiply
    16,495x = 22,757.70 × 9,323.80
  4. Step 4: Simplify right side
    16,495x = 212,188,243.26
  5. Step 5: Solve for x
    x = 212,188,243.26/16,495
  6. Step 6: Final answer
    x = 12,863.79

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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.