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Finding the Fourth Proportional to 9,892.88, 13,652.22 and 7,377.22

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Solution

The fourth proportional to 9,892.88, 13,652.22 and 7,377.22 is: 10,180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.88 : 13,652.22 = 7,377.22 : x
  2. Step 2: Convert to fraction form
    9,892.88/13,652.22 = 7,377.22/x
  3. Step 3: Cross multiply
    9,892.88x = 13,652.22 × 7,377.22
  4. Step 4: Simplify right side
    9,892.88x = 100,715,396.30
  5. Step 5: Solve for x
    x = 100,715,396.30/9,892.88
  6. Step 6: Final answer
    x = 10,180.60

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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.