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Finding the Fourth Proportional to 11,755.40, 17,610.02 and 6,814.65

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Solution

The fourth proportional to 11,755.40, 17,610.02 and 6,814.65 is: 10,208.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.40 : 17,610.02 = 6,814.65 : x
  2. Step 2: Convert to fraction form
    11,755.40/17,610.02 = 6,814.65/x
  3. Step 3: Cross multiply
    11,755.40x = 17,610.02 × 6,814.65
  4. Step 4: Simplify right side
    11,755.40x = 120,006,088.72
  5. Step 5: Solve for x
    x = 120,006,088.72/11,755.40
  6. Step 6: Final answer
    x = 10,208.60

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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.