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Finding the Fourth Proportional to 7,698.39, 10,668.41 and 7,550.74

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Solution

The fourth proportional to 7,698.39, 10,668.41 and 7,550.74 is: 10,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.39 : 10,668.41 = 7,550.74 : x
  2. Step 2: Convert to fraction form
    7,698.39/10,668.41 = 7,550.74/x
  3. Step 3: Cross multiply
    7,698.39x = 10,668.41 × 7,550.74
  4. Step 4: Simplify right side
    7,698.39x = 80,554,390.12
  5. Step 5: Solve for x
    x = 80,554,390.12/7,698.39
  6. Step 6: Final answer
    x = 10,463.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.