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Finding the Fourth Proportional to 13,594.81, 20,403.15 and 7,022.88

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Solution

The fourth proportional to 13,594.81, 20,403.15 and 7,022.88 is: 10,539.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,594.81 : 20,403.15 = 7,022.88 : x
  2. Step 2: Convert to fraction form
    13,594.81/20,403.15 = 7,022.88/x
  3. Step 3: Cross multiply
    13,594.81x = 20,403.15 × 7,022.88
  4. Step 4: Simplify right side
    13,594.81x = 143,288,874.07
  5. Step 5: Solve for x
    x = 143,288,874.07/13,594.81
  6. Step 6: Final answer
    x = 10,539.97

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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.