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Finding the Fourth Proportional to 6,698.60, 10,047.79 and 1,632.85

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Solution

The fourth proportional to 6,698.60, 10,047.79 and 1,632.85 is: 2,449.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.60 : 10,047.79 = 1,632.85 : x
  2. Step 2: Convert to fraction form
    6,698.60/10,047.79 = 1,632.85/x
  3. Step 3: Cross multiply
    6,698.60x = 10,047.79 × 1,632.85
  4. Step 4: Simplify right side
    6,698.60x = 16,406,487.74
  5. Step 5: Solve for x
    x = 16,406,487.74/6,698.60
  6. Step 6: Final answer
    x = 2,449.24

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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.