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Finding the Fourth Proportional to 9,956.88, 14,935.50 and 2,561.49

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Solution

The fourth proportional to 9,956.88, 14,935.50 and 2,561.49 is: 3,842.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.88 : 14,935.50 = 2,561.49 : x
  2. Step 2: Convert to fraction form
    9,956.88/14,935.50 = 2,561.49/x
  3. Step 3: Cross multiply
    9,956.88x = 14,935.50 × 2,561.49
  4. Step 4: Simplify right side
    9,956.88x = 38,257,133.90
  5. Step 5: Solve for x
    x = 38,257,133.90/9,956.88
  6. Step 6: Final answer
    x = 3,842.28

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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.