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Finding the Fourth Proportional to 13,705.69, 20,560.68 and 5,808.22

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Solution

The fourth proportional to 13,705.69, 20,560.68 and 5,808.22 is: 8,713.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.69 : 20,560.68 = 5,808.22 : x
  2. Step 2: Convert to fraction form
    13,705.69/20,560.68 = 5,808.22/x
  3. Step 3: Cross multiply
    13,705.69x = 20,560.68 × 5,808.22
  4. Step 4: Simplify right side
    13,705.69x = 119,420,952.79
  5. Step 5: Solve for x
    x = 119,420,952.79/13,705.69
  6. Step 6: Final answer
    x = 8,713.24

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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.