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Finding the Fourth Proportional to 37,665, 56,498.58 and 9,963

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Solution

The fourth proportional to 37,665, 56,498.58 and 9,963 is: 14,944.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,665 : 56,498.58 = 9,963 : x
  2. Step 2: Convert to fraction form
    37,665/56,498.58 = 9,963/x
  3. Step 3: Cross multiply
    37,665x = 56,498.58 × 9,963
  4. Step 4: Simplify right side
    37,665x = 562,895,352.54
  5. Step 5: Solve for x
    x = 562,895,352.54/37,665
  6. Step 6: Final answer
    x = 14,944.79

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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.