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Finding the Fourth Proportional to 6,576.67, 9,865.05 and 1,646.33

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Solution

The fourth proportional to 6,576.67, 9,865.05 and 1,646.33 is: 2,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.67 : 9,865.05 = 1,646.33 : x
  2. Step 2: Convert to fraction form
    6,576.67/9,865.05 = 1,646.33/x
  3. Step 3: Cross multiply
    6,576.67x = 9,865.05 × 1,646.33
  4. Step 4: Simplify right side
    6,576.67x = 16,241,127.77
  5. Step 5: Solve for x
    x = 16,241,127.77/6,576.67
  6. Step 6: Final answer
    x = 2,469.51

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Double scale
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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.