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Finding the Fourth Proportional to 17,785.70, 26,693.88 and 9,896.09

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Solution

The fourth proportional to 17,785.70, 26,693.88 and 9,896.09 is: 14,852.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.70 : 26,693.88 = 9,896.09 : x
  2. Step 2: Convert to fraction form
    17,785.70/26,693.88 = 9,896.09/x
  3. Step 3: Cross multiply
    17,785.70x = 26,693.88 × 9,896.09
  4. Step 4: Simplify right side
    17,785.70x = 264,165,105.66
  5. Step 5: Solve for x
    x = 264,165,105.66/17,785.70
  6. Step 6: Final answer
    x = 14,852.67

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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.