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Finding the Fourth Proportional to 6,552.68, 9,809.69 and 4,327.43

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Solution

The fourth proportional to 6,552.68, 9,809.69 and 4,327.43 is: 6,478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.68 : 9,809.69 = 4,327.43 : x
  2. Step 2: Convert to fraction form
    6,552.68/9,809.69 = 4,327.43/x
  3. Step 3: Cross multiply
    6,552.68x = 9,809.69 × 4,327.43
  4. Step 4: Simplify right side
    6,552.68x = 42,450,676.11
  5. Step 5: Solve for x
    x = 42,450,676.11/6,552.68
  6. Step 6: Final answer
    x = 6,478.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.