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Finding the Fourth Proportional to 9,731, 14,596.54 and 2,435

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Solution

The fourth proportional to 9,731, 14,596.54 and 2,435 is: 3,652.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731 : 14,596.54 = 2,435 : x
  2. Step 2: Convert to fraction form
    9,731/14,596.54 = 2,435/x
  3. Step 3: Cross multiply
    9,731x = 14,596.54 × 2,435
  4. Step 4: Simplify right side
    9,731x = 35,542,574.90
  5. Step 5: Solve for x
    x = 35,542,574.90/9,731
  6. Step 6: Final answer
    x = 3,652.51

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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.