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Finding the Fourth Proportional to 8,453.54, 11,665.79 and 4,676.42

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Solution

The fourth proportional to 8,453.54, 11,665.79 and 4,676.42 is: 6,453.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453.54 : 11,665.79 = 4,676.42 : x
  2. Step 2: Convert to fraction form
    8,453.54/11,665.79 = 4,676.42/x
  3. Step 3: Cross multiply
    8,453.54x = 11,665.79 × 4,676.42
  4. Step 4: Simplify right side
    8,453.54x = 54,554,051.96
  5. Step 5: Solve for x
    x = 54,554,051.96/8,453.54
  6. Step 6: Final answer
    x = 6,453.40

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Half scale
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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.