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Finding the Fourth Proportional to 9,896.54, 14,844.90 and 2,501.00

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Solution

The fourth proportional to 9,896.54, 14,844.90 and 2,501.00 is: 3,751.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.54 : 14,844.90 = 2,501.00 : x
  2. Step 2: Convert to fraction form
    9,896.54/14,844.90 = 2,501.00/x
  3. Step 3: Cross multiply
    9,896.54x = 14,844.90 × 2,501.00
  4. Step 4: Simplify right side
    9,896.54x = 37,127,022.98
  5. Step 5: Solve for x
    x = 37,127,022.98/9,896.54
  6. Step 6: Final answer
    x = 3,751.52

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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.