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Finding the Fourth Proportional to 10,309, 15,466.06 and 3,013

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Solution

The fourth proportional to 10,309, 15,466.06 and 3,013 is: 4,520.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309 : 15,466.06 = 3,013 : x
  2. Step 2: Convert to fraction form
    10,309/15,466.06 = 3,013/x
  3. Step 3: Cross multiply
    10,309x = 15,466.06 × 3,013
  4. Step 4: Simplify right side
    10,309x = 46,599,238.78
  5. Step 5: Solve for x
    x = 46,599,238.78/10,309
  6. Step 6: Final answer
    x = 4,520.25

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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.