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Finding the Fourth Proportional to 10,174.37, 15,285.02 and 9,754.00

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Solution

The fourth proportional to 10,174.37, 15,285.02 and 9,754.00 is: 14,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.37 : 15,285.02 = 9,754.00 : x
  2. Step 2: Convert to fraction form
    10,174.37/15,285.02 = 9,754.00/x
  3. Step 3: Cross multiply
    10,174.37x = 15,285.02 × 9,754.00
  4. Step 4: Simplify right side
    10,174.37x = 149,090,127.27
  5. Step 5: Solve for x
    x = 149,090,127.27/10,174.37
  6. Step 6: Final answer
    x = 14,653.50

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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.