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Finding the Fourth Proportional to 6,499.34, 9,749.00 and 2,606.48

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Solution

The fourth proportional to 6,499.34, 9,749.00 and 2,606.48 is: 3,909.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.34 : 9,749.00 = 2,606.48 : x
  2. Step 2: Convert to fraction form
    6,499.34/9,749.00 = 2,606.48/x
  3. Step 3: Cross multiply
    6,499.34x = 9,749.00 × 2,606.48
  4. Step 4: Simplify right side
    6,499.34x = 25,410,511.74
  5. Step 5: Solve for x
    x = 25,410,511.74/6,499.34
  6. Step 6: Final answer
    x = 3,909.71

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Similar ratio
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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.