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Finding the Fourth Proportional to 12,234.86, 16,885.24 and 7,521.02

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Solution

The fourth proportional to 12,234.86, 16,885.24 and 7,521.02 is: 10,379.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.86 : 16,885.24 = 7,521.02 : x
  2. Step 2: Convert to fraction form
    12,234.86/16,885.24 = 7,521.02/x
  3. Step 3: Cross multiply
    12,234.86x = 16,885.24 × 7,521.02
  4. Step 4: Simplify right side
    12,234.86x = 126,994,227.74
  5. Step 5: Solve for x
    x = 126,994,227.74/12,234.86
  6. Step 6: Final answer
    x = 10,379.70

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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.