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Finding the Fourth Proportional to 6,892.07, 9,511 and 3,748.25

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Solution

The fourth proportional to 6,892.07, 9,511 and 3,748.25 is: 5,172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.07 : 9,511 = 3,748.25 : x
  2. Step 2: Convert to fraction form
    6,892.07/9,511 = 3,748.25/x
  3. Step 3: Cross multiply
    6,892.07x = 9,511 × 3,748.25
  4. Step 4: Simplify right side
    6,892.07x = 35,649,605.75
  5. Step 5: Solve for x
    x = 35,649,605.75/6,892.07
  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.