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Finding the Fourth Proportional to 6,266.61, 8,625.96 and 5,676.12

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Solution

The fourth proportional to 6,266.61, 8,625.96 and 5,676.12 is: 7,813.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.61 : 8,625.96 = 5,676.12 : x
  2. Step 2: Convert to fraction form
    6,266.61/8,625.96 = 5,676.12/x
  3. Step 3: Cross multiply
    6,266.61x = 8,625.96 × 5,676.12
  4. Step 4: Simplify right side
    6,266.61x = 48,961,984.08
  5. Step 5: Solve for x
    x = 48,961,984.08/6,266.61
  6. Step 6: Final answer
    x = 7,813.15

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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.