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Finding the Fourth Proportional to 6,806.42, 10,206.74 and 4,941.99

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Solution

The fourth proportional to 6,806.42, 10,206.74 and 4,941.99 is: 7,410.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.42 : 10,206.74 = 4,941.99 : x
  2. Step 2: Convert to fraction form
    6,806.42/10,206.74 = 4,941.99/x
  3. Step 3: Cross multiply
    6,806.42x = 10,206.74 × 4,941.99
  4. Step 4: Simplify right side
    6,806.42x = 50,441,582.30
  5. Step 5: Solve for x
    x = 50,441,582.30/6,806.42
  6. Step 6: Final answer
    x = 7,410.89

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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.