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Finding the Fourth Proportional to 7,698.97, 11,552.87 and 7,636.33

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Solution

The fourth proportional to 7,698.97, 11,552.87 and 7,636.33 is: 11,458.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.97 : 11,552.87 = 7,636.33 : x
  2. Step 2: Convert to fraction form
    7,698.97/11,552.87 = 7,636.33/x
  3. Step 3: Cross multiply
    7,698.97x = 11,552.87 × 7,636.33
  4. Step 4: Simplify right side
    7,698.97x = 88,221,527.77
  5. Step 5: Solve for x
    x = 88,221,527.77/7,698.97
  6. Step 6: Final answer
    x = 11,458.87

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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.