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Finding the Fourth Proportional to 6,506.45, 9,760.01 and 2,064.46

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Solution

The fourth proportional to 6,506.45, 9,760.01 and 2,064.46 is: 3,096.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.45 : 9,760.01 = 2,064.46 : x
  2. Step 2: Convert to fraction form
    6,506.45/9,760.01 = 2,064.46/x
  3. Step 3: Cross multiply
    6,506.45x = 9,760.01 × 2,064.46
  4. Step 4: Simplify right side
    6,506.45x = 20,149,150.24
  5. Step 5: Solve for x
    x = 20,149,150.24/6,506.45
  6. Step 6: Final answer
    x = 3,096.80

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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.