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Finding the Fourth Proportional to 7,849, 10,832.58 and 4,537

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Solution

The fourth proportional to 7,849, 10,832.58 and 4,537 is: 6,261.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849 : 10,832.58 = 4,537 : x
  2. Step 2: Convert to fraction form
    7,849/10,832.58 = 4,537/x
  3. Step 3: Cross multiply
    7,849x = 10,832.58 × 4,537
  4. Step 4: Simplify right side
    7,849x = 49,147,415.46
  5. Step 5: Solve for x
    x = 49,147,415.46/7,849
  6. Step 6: Final answer
    x = 6,261.61

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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.