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Finding the Fourth Proportional to 6,911.71, 9,538.18 and 3,927.56

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Solution

The fourth proportional to 6,911.71, 9,538.18 and 3,927.56 is: 5,420.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.71 : 9,538.18 = 3,927.56 : x
  2. Step 2: Convert to fraction form
    6,911.71/9,538.18 = 3,927.56/x
  3. Step 3: Cross multiply
    6,911.71x = 9,538.18 × 3,927.56
  4. Step 4: Simplify right side
    6,911.71x = 37,461,716.73
  5. Step 5: Solve for x
    x = 37,461,716.73/6,911.71
  6. Step 6: Final answer
    x = 5,420.04

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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.