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Finding the Fourth Proportional to 9,908.54, 14,862.82 and 2,513.00

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Solution

The fourth proportional to 9,908.54, 14,862.82 and 2,513.00 is: 3,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,908.54 : 14,862.82 = 2,513.00 : x
  2. Step 2: Convert to fraction form
    9,908.54/14,862.82 = 2,513.00/x
  3. Step 3: Cross multiply
    9,908.54x = 14,862.82 × 2,513.00
  4. Step 4: Simplify right side
    9,908.54x = 37,350,297.53
  5. Step 5: Solve for x
    x = 37,350,297.53/9,908.54
  6. Step 6: Final answer
    x = 3,769.50

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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.