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Finding the Fourth Proportional to 24,691, 37,036.50 and 6,223

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Solution

The fourth proportional to 24,691, 37,036.50 and 6,223 is: 9,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,691 : 37,036.50 = 6,223 : x
  2. Step 2: Convert to fraction form
    24,691/37,036.50 = 6,223/x
  3. Step 3: Cross multiply
    24,691x = 37,036.50 × 6,223
  4. Step 4: Simplify right side
    24,691x = 230,478,139.50
  5. Step 5: Solve for x
    x = 230,478,139.50/24,691
  6. Step 6: Final answer
    x = 9,334.50

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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.