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Finding the Fourth Proportional to 6,330.75, 9,492.03 and 3,411.15

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Solution

The fourth proportional to 6,330.75, 9,492.03 and 3,411.15 is: 5,114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,330.75 : 9,492.03 = 3,411.15 : x
  2. Step 2: Convert to fraction form
    6,330.75/9,492.03 = 3,411.15/x
  3. Step 3: Cross multiply
    6,330.75x = 9,492.03 × 3,411.15
  4. Step 4: Simplify right side
    6,330.75x = 32,378,738.13
  5. Step 5: Solve for x
    x = 32,378,738.13/6,330.75
  6. Step 6: Final answer
    x = 5,114.52

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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.