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Finding the Fourth Proportional to 9,676.80, 13,363.20 and 8,755.20

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Solution

The fourth proportional to 9,676.80, 13,363.20 and 8,755.20 is: 12,090.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.80 : 13,363.20 = 8,755.20 : x
  2. Step 2: Convert to fraction form
    9,676.80/13,363.20 = 8,755.20/x
  3. Step 3: Cross multiply
    9,676.80x = 13,363.20 × 8,755.20
  4. Step 4: Simplify right side
    9,676.80x = 116,997,488.64
  5. Step 5: Solve for x
    x = 116,997,488.64/9,676.80
  6. Step 6: Final answer
    x = 12,090.51

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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.