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Finding the Fourth Proportional to 6,166, 9,248.32 and 1,549

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Solution

The fourth proportional to 6,166, 9,248.32 and 1,549 is: 2,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166 : 9,248.32 = 1,549 : x
  2. Step 2: Convert to fraction form
    6,166/9,248.32 = 1,549/x
  3. Step 3: Cross multiply
    6,166x = 9,248.32 × 1,549
  4. Step 4: Simplify right side
    6,166x = 14,325,647.68
  5. Step 5: Solve for x
    x = 14,325,647.68/6,166
  6. Step 6: Final answer
    x = 2,323.33

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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.