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Finding the Fourth Proportional to 8,453.72, 11,666.48 and 4,676.82

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Solution

The fourth proportional to 8,453.72, 11,666.48 and 4,676.82 is: 6,454.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453.72 : 11,666.48 = 4,676.82 : x
  2. Step 2: Convert to fraction form
    8,453.72/11,666.48 = 4,676.82/x
  3. Step 3: Cross multiply
    8,453.72x = 11,666.48 × 4,676.82
  4. Step 4: Simplify right side
    8,453.72x = 54,562,082.43
  5. Step 5: Solve for x
    x = 54,562,082.43/8,453.72
  6. Step 6: Final answer
    x = 6,454.21

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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.