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Finding the Fourth Proportional to 17,785.68, 26,664.12 and 7,405.20

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Solution

The fourth proportional to 17,785.68, 26,664.12 and 7,405.20 is: 11,101.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.68 : 26,664.12 = 7,405.20 : x
  2. Step 2: Convert to fraction form
    17,785.68/26,664.12 = 7,405.20/x
  3. Step 3: Cross multiply
    17,785.68x = 26,664.12 × 7,405.20
  4. Step 4: Simplify right side
    17,785.68x = 197,453,141.42
  5. Step 5: Solve for x
    x = 197,453,141.42/17,785.68
  6. Step 6: Final answer
    x = 11,101.80

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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.