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Finding the Fourth Proportional to 8,204.37, 11,322.05 and 4,478.37

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Solution

The fourth proportional to 8,204.37, 11,322.05 and 4,478.37 is: 6,180.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.37 : 11,322.05 = 4,478.37 : x
  2. Step 2: Convert to fraction form
    8,204.37/11,322.05 = 4,478.37/x
  3. Step 3: Cross multiply
    8,204.37x = 11,322.05 × 4,478.37
  4. Step 4: Simplify right side
    8,204.37x = 50,704,306.67
  5. Step 5: Solve for x
    x = 50,704,306.67/8,204.37
  6. Step 6: Final answer
    x = 6,180.16

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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.