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Finding the Fourth Proportional to 24,991, 37,488.68 and 6,523

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Solution

The fourth proportional to 24,991, 37,488.68 and 6,523 is: 9,785.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,991 : 37,488.68 = 6,523 : x
  2. Step 2: Convert to fraction form
    24,991/37,488.68 = 6,523/x
  3. Step 3: Cross multiply
    24,991x = 37,488.68 × 6,523
  4. Step 4: Simplify right side
    24,991x = 244,538,659.64
  5. Step 5: Solve for x
    x = 244,538,659.64/24,991
  6. Step 6: Final answer
    x = 9,785.07

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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.