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Finding the Fourth Proportional to 6,722.84, 9,277.75 and 3,698.09

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Solution

The fourth proportional to 6,722.84, 9,277.75 and 3,698.09 is: 5,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.84 : 9,277.75 = 3,698.09 : x
  2. Step 2: Convert to fraction form
    6,722.84/9,277.75 = 3,698.09/x
  3. Step 3: Cross multiply
    6,722.84x = 9,277.75 × 3,698.09
  4. Step 4: Simplify right side
    6,722.84x = 34,309,999.71
  5. Step 5: Solve for x
    x = 34,309,999.71/6,722.84
  6. Step 6: Final answer
    x = 5,103.50

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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.