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Finding the Fourth Proportional to 6,492.32, 9,733.92 and 2,274.54

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Solution

The fourth proportional to 6,492.32, 9,733.92 and 2,274.54 is: 3,410.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.32 : 9,733.92 = 2,274.54 : x
  2. Step 2: Convert to fraction form
    6,492.32/9,733.92 = 2,274.54/x
  3. Step 3: Cross multiply
    6,492.32x = 9,733.92 × 2,274.54
  4. Step 4: Simplify right side
    6,492.32x = 22,140,190.40
  5. Step 5: Solve for x
    x = 22,140,190.40/6,492.32
  6. Step 6: Final answer
    x = 3,410.21

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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.