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Finding the Fourth Proportional to 6,892.45, 9,511.58 and 3,748.63

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Solution

The fourth proportional to 6,892.45, 9,511.58 and 3,748.63 is: 5,173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.45 : 9,511.58 = 3,748.63 : x
  2. Step 2: Convert to fraction form
    6,892.45/9,511.58 = 3,748.63/x
  3. Step 3: Cross multiply
    6,892.45x = 9,511.58 × 3,748.63
  4. Step 4: Simplify right side
    6,892.45x = 35,655,394.14
  5. Step 5: Solve for x
    x = 35,655,394.14/6,892.45
  6. Step 6: Final answer
    x = 5,173.11

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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.