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Finding the Fourth Proportional to 11,653.15, 17,467.42 and 8,364.46

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Solution

The fourth proportional to 11,653.15, 17,467.42 and 8,364.46 is: 12,537.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.15 : 17,467.42 = 8,364.46 : x
  2. Step 2: Convert to fraction form
    11,653.15/17,467.42 = 8,364.46/x
  3. Step 3: Cross multiply
    11,653.15x = 17,467.42 × 8,364.46
  4. Step 4: Simplify right side
    11,653.15x = 146,105,494.07
  5. Step 5: Solve for x
    x = 146,105,494.07/11,653.15
  6. Step 6: Final answer
    x = 12,537.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.