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Finding the Fourth Proportional to 7,732.44, 10,698.89 and 6,739.79

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Solution

The fourth proportional to 7,732.44, 10,698.89 and 6,739.79 is: 9,325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.44 : 10,698.89 = 6,739.79 : x
  2. Step 2: Convert to fraction form
    7,732.44/10,698.89 = 6,739.79/x
  3. Step 3: Cross multiply
    7,732.44x = 10,698.89 × 6,739.79
  4. Step 4: Simplify right side
    7,732.44x = 72,108,184.64
  5. Step 5: Solve for x
    x = 72,108,184.64/7,732.44
  6. Step 6: Final answer
    x = 9,325.41

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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.