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Finding the Fourth Proportional to 23,219, 34,834.28 and 6,803

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Solution

The fourth proportional to 23,219, 34,834.28 and 6,803 is: 10,206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,219 : 34,834.28 = 6,803 : x
  2. Step 2: Convert to fraction form
    23,219/34,834.28 = 6,803/x
  3. Step 3: Cross multiply
    23,219x = 34,834.28 × 6,803
  4. Step 4: Simplify right side
    23,219x = 236,977,606.84
  5. Step 5: Solve for x
    x = 236,977,606.84/23,219
  6. Step 6: Final answer
    x = 10,206.19

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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.