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Finding the Fourth Proportional to 11,624.45, 16,041.78 and 6,319.22

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Solution

The fourth proportional to 11,624.45, 16,041.78 and 6,319.22 is: 8,720.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.45 : 16,041.78 = 6,319.22 : x
  2. Step 2: Convert to fraction form
    11,624.45/16,041.78 = 6,319.22/x
  3. Step 3: Cross multiply
    11,624.45x = 16,041.78 × 6,319.22
  4. Step 4: Simplify right side
    11,624.45x = 101,371,456.80
  5. Step 5: Solve for x
    x = 101,371,456.80/11,624.45
  6. Step 6: Final answer
    x = 8,720.54

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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.