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Finding the Fourth Proportional to 15,309, 22,963.50 and 6,081.48

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Solution

The fourth proportional to 15,309, 22,963.50 and 6,081.48 is: 9,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,309 : 22,963.50 = 6,081.48 : x
  2. Step 2: Convert to fraction form
    15,309/22,963.50 = 6,081.48/x
  3. Step 3: Cross multiply
    15,309x = 22,963.50 × 6,081.48
  4. Step 4: Simplify right side
    15,309x = 139,652,065.98
  5. Step 5: Solve for x
    x = 139,652,065.98/15,309
  6. Step 6: Final answer
    x = 9,122.22

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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.