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Finding the Fourth Proportional to 6,309, 9,464.72 and 2,846.25

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Solution

The fourth proportional to 6,309, 9,464.72 and 2,846.25 is: 4,269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309 : 9,464.72 = 2,846.25 : x
  2. Step 2: Convert to fraction form
    6,309/9,464.72 = 2,846.25/x
  3. Step 3: Cross multiply
    6,309x = 9,464.72 × 2,846.25
  4. Step 4: Simplify right side
    6,309x = 26,938,945.07
  5. Step 5: Solve for x
    x = 26,938,945.07/6,309
  6. Step 6: Final answer
    x = 4,269.92

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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.