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Finding the Fourth Proportional to 6,536.28, 9,804.95 and 3,921.65

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Solution

The fourth proportional to 6,536.28, 9,804.95 and 3,921.65 is: 5,882.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.28 : 9,804.95 = 3,921.65 : x
  2. Step 2: Convert to fraction form
    6,536.28/9,804.95 = 3,921.65/x
  3. Step 3: Cross multiply
    6,536.28x = 9,804.95 × 3,921.65
  4. Step 4: Simplify right side
    6,536.28x = 38,451,582.17
  5. Step 5: Solve for x
    x = 38,451,582.17/6,536.28
  6. Step 6: Final answer
    x = 5,882.79

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1.5x scale

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.