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Finding the Fourth Proportional to 6,126.42, 9,184.17 and 2,834.99

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Solution

The fourth proportional to 6,126.42, 9,184.17 and 2,834.99 is: 4,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126.42 : 9,184.17 = 2,834.99 : x
  2. Step 2: Convert to fraction form
    6,126.42/9,184.17 = 2,834.99/x
  3. Step 3: Cross multiply
    6,126.42x = 9,184.17 × 2,834.99
  4. Step 4: Simplify right side
    6,126.42x = 26,037,030.11
  5. Step 5: Solve for x
    x = 26,037,030.11/6,126.42
  6. Step 6: Final answer
    x = 4,249.96

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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.