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Finding the Fourth Proportional to 7,846, 10,828.44 and 4,534

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Solution

The fourth proportional to 7,846, 10,828.44 and 4,534 is: 6,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846 : 10,828.44 = 4,534 : x
  2. Step 2: Convert to fraction form
    7,846/10,828.44 = 4,534/x
  3. Step 3: Cross multiply
    7,846x = 10,828.44 × 4,534
  4. Step 4: Simplify right side
    7,846x = 49,096,146.96
  5. Step 5: Solve for x
    x = 49,096,146.96/7,846
  6. Step 6: Final answer
    x = 6,257.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.