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Finding the Fourth Proportional to 9,664.50, 14,499.18 and 2,739

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Solution

The fourth proportional to 9,664.50, 14,499.18 and 2,739 is: 4,109.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.50 : 14,499.18 = 2,739 : x
  2. Step 2: Convert to fraction form
    9,664.50/14,499.18 = 2,739/x
  3. Step 3: Cross multiply
    9,664.50x = 14,499.18 × 2,739
  4. Step 4: Simplify right side
    9,664.50x = 39,713,254.02
  5. Step 5: Solve for x
    x = 39,713,254.02/9,664.50
  6. Step 6: Final answer
    x = 4,109.19

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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.