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Finding the Fourth Proportional to 9,774.56, 14,663.16 and 2,849

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Solution

The fourth proportional to 9,774.56, 14,663.16 and 2,849 is: 4,273.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.56 : 14,663.16 = 2,849 : x
  2. Step 2: Convert to fraction form
    9,774.56/14,663.16 = 2,849/x
  3. Step 3: Cross multiply
    9,774.56x = 14,663.16 × 2,849
  4. Step 4: Simplify right side
    9,774.56x = 41,775,342.84
  5. Step 5: Solve for x
    x = 41,775,342.84/9,774.56
  6. Step 6: Final answer
    x = 4,273.88

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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.