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Finding the Fourth Proportional to 12,655.14, 18,982.68 and 3,421.14

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Solution

The fourth proportional to 12,655.14, 18,982.68 and 3,421.14 is: 5,131.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,655.14 : 18,982.68 = 3,421.14 : x
  2. Step 2: Convert to fraction form
    12,655.14/18,982.68 = 3,421.14/x
  3. Step 3: Cross multiply
    12,655.14x = 18,982.68 × 3,421.14
  4. Step 4: Simplify right side
    12,655.14x = 64,942,405.86
  5. Step 5: Solve for x
    x = 64,942,405.86/12,655.14
  6. Step 6: Final answer
    x = 5,131.70

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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.