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Finding the Fourth Proportional to 9,051, 13,579.38 and 2,895

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Solution

The fourth proportional to 9,051, 13,579.38 and 2,895 is: 4,343.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,051 : 13,579.38 = 2,895 : x
  2. Step 2: Convert to fraction form
    9,051/13,579.38 = 2,895/x
  3. Step 3: Cross multiply
    9,051x = 13,579.38 × 2,895
  4. Step 4: Simplify right side
    9,051x = 39,312,305.10
  5. Step 5: Solve for x
    x = 39,312,305.10/9,051
  6. Step 6: Final answer
    x = 4,343.42

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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.