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Finding the Fourth Proportional to 17,783.24, 26,677.74 and 5,471.24

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Solution

The fourth proportional to 17,783.24, 26,677.74 and 5,471.24 is: 8,207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,783.24 : 26,677.74 = 5,471.24 : x
  2. Step 2: Convert to fraction form
    17,783.24/26,677.74 = 5,471.24/x
  3. Step 3: Cross multiply
    17,783.24x = 26,677.74 × 5,471.24
  4. Step 4: Simplify right side
    17,783.24x = 145,960,318.20
  5. Step 5: Solve for x
    x = 145,960,318.20/17,783.24
  6. Step 6: Final answer
    x = 8,207.75

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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.