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Finding the Fourth Proportional to 6,591.96, 9,887.06 and 2,209.46

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Solution

The fourth proportional to 6,591.96, 9,887.06 and 2,209.46 is: 3,313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.96 : 9,887.06 = 2,209.46 : x
  2. Step 2: Convert to fraction form
    6,591.96/9,887.06 = 2,209.46/x
  3. Step 3: Cross multiply
    6,591.96x = 9,887.06 × 2,209.46
  4. Step 4: Simplify right side
    6,591.96x = 21,845,019.68
  5. Step 5: Solve for x
    x = 21,845,019.68/6,591.96
  6. Step 6: Final answer
    x = 3,313.89

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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.