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Finding the Fourth Proportional to 6,555.36, 9,834.48 and 1,938

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Solution

The fourth proportional to 6,555.36, 9,834.48 and 1,938 is: 2,907.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.36 : 9,834.48 = 1,938 : x
  2. Step 2: Convert to fraction form
    6,555.36/9,834.48 = 1,938/x
  3. Step 3: Cross multiply
    6,555.36x = 9,834.48 × 1,938
  4. Step 4: Simplify right side
    6,555.36x = 19,059,222.24
  5. Step 5: Solve for x
    x = 19,059,222.24/6,555.36
  6. Step 6: Final answer
    x = 2,907.43

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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.