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Finding the Fourth Proportional to 16,412.50, 22,649.04 and 9,338.91

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Solution

The fourth proportional to 16,412.50, 22,649.04 and 9,338.91 is: 12,887.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.50 : 22,649.04 = 9,338.91 : x
  2. Step 2: Convert to fraction form
    16,412.50/22,649.04 = 9,338.91/x
  3. Step 3: Cross multiply
    16,412.50x = 22,649.04 × 9,338.91
  4. Step 4: Simplify right side
    16,412.50x = 211,517,346.15
  5. Step 5: Solve for x
    x = 211,517,346.15/16,412.50
  6. Step 6: Final answer
    x = 12,887.58

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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.