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Finding the Fourth Proportional to 6,131.70, 9,202.20 and 4,492.50

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Solution

The fourth proportional to 6,131.70, 9,202.20 and 4,492.50 is: 6,742.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.70 : 9,202.20 = 4,492.50 : x
  2. Step 2: Convert to fraction form
    6,131.70/9,202.20 = 4,492.50/x
  3. Step 3: Cross multiply
    6,131.70x = 9,202.20 × 4,492.50
  4. Step 4: Simplify right side
    6,131.70x = 41,340,883.50
  5. Step 5: Solve for x
    x = 41,340,883.50/6,131.70
  6. Step 6: Final answer
    x = 6,742.16

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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.