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Finding the Fourth Proportional to 10,450.56, 15,737.92 and 9,422.64

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Solution

The fourth proportional to 10,450.56, 15,737.92 and 9,422.64 is: 14,189.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.56 : 15,737.92 = 9,422.64 : x
  2. Step 2: Convert to fraction form
    10,450.56/15,737.92 = 9,422.64/x
  3. Step 3: Cross multiply
    10,450.56x = 15,737.92 × 9,422.64
  4. Step 4: Simplify right side
    10,450.56x = 148,292,754.51
  5. Step 5: Solve for x
    x = 148,292,754.51/10,450.56
  6. Step 6: Final answer
    x = 14,189.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.