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Finding the Fourth Proportional to 7,698.73, 10,624.22 and 4,161.95

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Solution

The fourth proportional to 7,698.73, 10,624.22 and 4,161.95 is: 5,743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.73 : 10,624.22 = 4,161.95 : x
  2. Step 2: Convert to fraction form
    7,698.73/10,624.22 = 4,161.95/x
  3. Step 3: Cross multiply
    7,698.73x = 10,624.22 × 4,161.95
  4. Step 4: Simplify right side
    7,698.73x = 44,217,419.31
  5. Step 5: Solve for x
    x = 44,217,419.31/7,698.73
  6. Step 6: Final answer
    x = 5,743.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.