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Finding the Fourth Proportional to 6,504.69, 9,757.04 and 5,214.36

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Solution

The fourth proportional to 6,504.69, 9,757.04 and 5,214.36 is: 7,821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.69 : 9,757.04 = 5,214.36 : x
  2. Step 2: Convert to fraction form
    6,504.69/9,757.04 = 5,214.36/x
  3. Step 3: Cross multiply
    6,504.69x = 9,757.04 × 5,214.36
  4. Step 4: Simplify right side
    6,504.69x = 50,876,719.09
  5. Step 5: Solve for x
    x = 50,876,719.09/6,504.69
  6. Step 6: Final answer
    x = 7,821.54

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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.