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Finding the Fourth Proportional to 8,464.94, 11,654.33 and 7,267.56

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Solution

The fourth proportional to 8,464.94, 11,654.33 and 7,267.56 is: 10,005.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.94 : 11,654.33 = 7,267.56 : x
  2. Step 2: Convert to fraction form
    8,464.94/11,654.33 = 7,267.56/x
  3. Step 3: Cross multiply
    8,464.94x = 11,654.33 × 7,267.56
  4. Step 4: Simplify right side
    8,464.94x = 84,698,542.53
  5. Step 5: Solve for x
    x = 84,698,542.53/8,464.94
  6. Step 6: Final answer
    x = 10,005.81

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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.