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Finding the Fourth Proportional to 7,094.50, 10,651.17 and 6,061.14

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Solution

The fourth proportional to 7,094.50, 10,651.17 and 6,061.14 is: 9,099.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.50 : 10,651.17 = 6,061.14 : x
  2. Step 2: Convert to fraction form
    7,094.50/10,651.17 = 6,061.14/x
  3. Step 3: Cross multiply
    7,094.50x = 10,651.17 × 6,061.14
  4. Step 4: Simplify right side
    7,094.50x = 64,558,232.53
  5. Step 5: Solve for x
    x = 64,558,232.53/7,094.50
  6. Step 6: Final answer
    x = 9,099.76

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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.