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Finding the Fourth Proportional to 7,486.70, 11,216 and 6,261.98

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Solution

The fourth proportional to 7,486.70, 11,216 and 6,261.98 is: 9,381.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.70 : 11,216 = 6,261.98 : x
  2. Step 2: Convert to fraction form
    7,486.70/11,216 = 6,261.98/x
  3. Step 3: Cross multiply
    7,486.70x = 11,216 × 6,261.98
  4. Step 4: Simplify right side
    7,486.70x = 70,234,367.68
  5. Step 5: Solve for x
    x = 70,234,367.68/7,486.70
  6. Step 6: Final answer
    x = 9,381.22

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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.