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Finding the Fourth Proportional to 7,967.44, 11,954.40 and 7,755.76

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Solution

The fourth proportional to 7,967.44, 11,954.40 and 7,755.76 is: 11,636.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.44 : 11,954.40 = 7,755.76 : x
  2. Step 2: Convert to fraction form
    7,967.44/11,954.40 = 7,755.76/x
  3. Step 3: Cross multiply
    7,967.44x = 11,954.40 × 7,755.76
  4. Step 4: Simplify right side
    7,967.44x = 92,715,457.34
  5. Step 5: Solve for x
    x = 92,715,457.34/7,967.44
  6. Step 6: Final answer
    x = 11,636.79

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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.