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Finding the Fourth Proportional to 6,116, 9,174.18 and 1,499

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Solution

The fourth proportional to 6,116, 9,174.18 and 1,499 is: 2,248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116 : 9,174.18 = 1,499 : x
  2. Step 2: Convert to fraction form
    6,116/9,174.18 = 1,499/x
  3. Step 3: Cross multiply
    6,116x = 9,174.18 × 1,499
  4. Step 4: Simplify right side
    6,116x = 13,752,095.82
  5. Step 5: Solve for x
    x = 13,752,095.82/6,116
  6. Step 6: Final answer
    x = 2,248.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.