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Finding the Fourth Proportional to 10,452.69, 15,668.10 and 6,503.94

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Solution

The fourth proportional to 10,452.69, 15,668.10 and 6,503.94 is: 9,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.69 : 15,668.10 = 6,503.94 : x
  2. Step 2: Convert to fraction form
    10,452.69/15,668.10 = 6,503.94/x
  3. Step 3: Cross multiply
    10,452.69x = 15,668.10 × 6,503.94
  4. Step 4: Simplify right side
    10,452.69x = 101,904,382.31
  5. Step 5: Solve for x
    x = 101,904,382.31/10,452.69
  6. Step 6: Final answer
    x = 9,749.11

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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.