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Finding the Fourth Proportional to 9,933, 14,899.50 and 2,637

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Solution

The fourth proportional to 9,933, 14,899.50 and 2,637 is: 3,955.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933 : 14,899.50 = 2,637 : x
  2. Step 2: Convert to fraction form
    9,933/14,899.50 = 2,637/x
  3. Step 3: Cross multiply
    9,933x = 14,899.50 × 2,637
  4. Step 4: Simplify right side
    9,933x = 39,289,981.50
  5. Step 5: Solve for x
    x = 39,289,981.50/9,933
  6. Step 6: Final answer
    x = 3,955.50

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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.