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Finding the Fourth Proportional to 7,698.71, 10,624.20 and 4,161.92

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Solution

The fourth proportional to 7,698.71, 10,624.20 and 4,161.92 is: 5,743.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.71 : 10,624.20 = 4,161.92 : x
  2. Step 2: Convert to fraction form
    7,698.71/10,624.20 = 4,161.92/x
  3. Step 3: Cross multiply
    7,698.71x = 10,624.20 × 4,161.92
  4. Step 4: Simplify right side
    7,698.71x = 44,217,017.34
  5. Step 5: Solve for x
    x = 44,217,017.34/7,698.71
  6. Step 6: Final answer
    x = 5,743.44

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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.