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Finding the Fourth Proportional to 13,739.51, 20,609.22 and 7,178.51

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Solution

The fourth proportional to 13,739.51, 20,609.22 and 7,178.51 is: 10,767.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,739.51 : 20,609.22 = 7,178.51 : x
  2. Step 2: Convert to fraction form
    13,739.51/20,609.22 = 7,178.51/x
  3. Step 3: Cross multiply
    13,739.51x = 20,609.22 × 7,178.51
  4. Step 4: Simplify right side
    13,739.51x = 147,943,491.86
  5. Step 5: Solve for x
    x = 147,943,491.86/13,739.51
  6. Step 6: Final answer
    x = 10,767.74

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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.