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Finding the Fourth Proportional to 9,154, 13,731.54 and 2,998

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Solution

The fourth proportional to 9,154, 13,731.54 and 2,998 is: 4,497.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154 : 13,731.54 = 2,998 : x
  2. Step 2: Convert to fraction form
    9,154/13,731.54 = 2,998/x
  3. Step 3: Cross multiply
    9,154x = 13,731.54 × 2,998
  4. Step 4: Simplify right side
    9,154x = 41,167,156.92
  5. Step 5: Solve for x
    x = 41,167,156.92/9,154
  6. Step 6: Final answer
    x = 4,497.18

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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.