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Finding the Fourth Proportional to 7,727.51, 11,491.84 and 7,481.47

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Solution

The fourth proportional to 7,727.51, 11,491.84 and 7,481.47 is: 11,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.51 : 11,491.84 = 7,481.47 : x
  2. Step 2: Convert to fraction form
    7,727.51/11,491.84 = 7,481.47/x
  3. Step 3: Cross multiply
    7,727.51x = 11,491.84 × 7,481.47
  4. Step 4: Simplify right side
    7,727.51x = 85,975,856.20
  5. Step 5: Solve for x
    x = 85,975,856.20/7,727.51
  6. Step 6: Final answer
    x = 11,125.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.