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Finding the Fourth Proportional to 6,266.22, 8,645.85 and 3,748.74

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Solution

The fourth proportional to 6,266.22, 8,645.85 and 3,748.74 is: 5,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.22 : 8,645.85 = 3,748.74 : x
  2. Step 2: Convert to fraction form
    6,266.22/8,645.85 = 3,748.74/x
  3. Step 3: Cross multiply
    6,266.22x = 8,645.85 × 3,748.74
  4. Step 4: Simplify right side
    6,266.22x = 32,411,043.73
  5. Step 5: Solve for x
    x = 32,411,043.73/6,266.22
  6. Step 6: Final answer
    x = 5,172.34

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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.