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Finding the Fourth Proportional to 6,892.61, 9,511.75 and 3,748.80

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Solution

The fourth proportional to 6,892.61, 9,511.75 and 3,748.80 is: 5,173.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.61 : 9,511.75 = 3,748.80 : x
  2. Step 2: Convert to fraction form
    6,892.61/9,511.75 = 3,748.80/x
  3. Step 3: Cross multiply
    6,892.61x = 9,511.75 × 3,748.80
  4. Step 4: Simplify right side
    6,892.61x = 35,657,648.40
  5. Step 5: Solve for x
    x = 35,657,648.40/6,892.61
  6. Step 6: Final answer
    x = 5,173.32

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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.