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Finding the Fourth Proportional to 6,267.12, 9,401.52 and 1,884

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Solution

The fourth proportional to 6,267.12, 9,401.52 and 1,884 is: 2,826.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.12 : 9,401.52 = 1,884 : x
  2. Step 2: Convert to fraction form
    6,267.12/9,401.52 = 1,884/x
  3. Step 3: Cross multiply
    6,267.12x = 9,401.52 × 1,884
  4. Step 4: Simplify right side
    6,267.12x = 17,712,463.68
  5. Step 5: Solve for x
    x = 17,712,463.68/6,267.12
  6. Step 6: Final answer
    x = 2,826.25

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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.