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Finding the Fourth Proportional to 24,639, 36,959.31 and 6,171

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Solution

The fourth proportional to 24,639, 36,959.31 and 6,171 is: 9,256.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,639 : 36,959.31 = 6,171 : x
  2. Step 2: Convert to fraction form
    24,639/36,959.31 = 6,171/x
  3. Step 3: Cross multiply
    24,639x = 36,959.31 × 6,171
  4. Step 4: Simplify right side
    24,639x = 228,075,902.01
  5. Step 5: Solve for x
    x = 228,075,902.01/24,639
  6. Step 6: Final answer
    x = 9,256.70

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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.