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Finding the Fourth Proportional to 12,193.16, 16,827.06 and 7,416.32

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Solution

The fourth proportional to 12,193.16, 16,827.06 and 7,416.32 is: 10,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.16 : 16,827.06 = 7,416.32 : x
  2. Step 2: Convert to fraction form
    12,193.16/16,827.06 = 7,416.32/x
  3. Step 3: Cross multiply
    12,193.16x = 16,827.06 × 7,416.32
  4. Step 4: Simplify right side
    12,193.16x = 124,794,861.62
  5. Step 5: Solve for x
    x = 124,794,861.62/12,193.16
  6. Step 6: Final answer
    x = 10,234.83

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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.