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Finding the Fourth Proportional to 6,892.02, 9,511.05 and 3,748.20

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Solution

The fourth proportional to 6,892.02, 9,511.05 and 3,748.20 is: 5,172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.02 : 9,511.05 = 3,748.20 : x
  2. Step 2: Convert to fraction form
    6,892.02/9,511.05 = 3,748.20/x
  3. Step 3: Cross multiply
    6,892.02x = 9,511.05 × 3,748.20
  4. Step 4: Simplify right side
    6,892.02x = 35,649,317.61
  5. Step 5: Solve for x
    x = 35,649,317.61/6,892.02
  6. Step 6: Final answer
    x = 5,172.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.