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Finding the Fourth Proportional to 9,866.62, 14,802 and 2,846.56

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Solution

The fourth proportional to 9,866.62, 14,802 and 2,846.56 is: 4,270.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.62 : 14,802 = 2,846.56 : x
  2. Step 2: Convert to fraction form
    9,866.62/14,802 = 2,846.56/x
  3. Step 3: Cross multiply
    9,866.62x = 14,802 × 2,846.56
  4. Step 4: Simplify right side
    9,866.62x = 42,134,781.12
  5. Step 5: Solve for x
    x = 42,134,781.12/9,866.62
  6. Step 6: Final answer
    x = 4,270.44

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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.