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Finding the Fourth Proportional to 9,733, 14,600.31 and 2,807.50

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Solution

The fourth proportional to 9,733, 14,600.31 and 2,807.50 is: 4,211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733 : 14,600.31 = 2,807.50 : x
  2. Step 2: Convert to fraction form
    9,733/14,600.31 = 2,807.50/x
  3. Step 3: Cross multiply
    9,733x = 14,600.31 × 2,807.50
  4. Step 4: Simplify right side
    9,733x = 40,990,370.33
  5. Step 5: Solve for x
    x = 40,990,370.33/9,733
  6. Step 6: Final answer
    x = 4,211.48

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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.