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Finding the Fourth Proportional to 13,655.40, 20,439.90 and 9,767.40

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Solution

The fourth proportional to 13,655.40, 20,439.90 and 9,767.40 is: 14,620.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,655.40 : 20,439.90 = 9,767.40 : x
  2. Step 2: Convert to fraction form
    13,655.40/20,439.90 = 9,767.40/x
  3. Step 3: Cross multiply
    13,655.40x = 20,439.90 × 9,767.40
  4. Step 4: Simplify right side
    13,655.40x = 199,644,679.26
  5. Step 5: Solve for x
    x = 199,644,679.26/13,655.40
  6. Step 6: Final answer
    x = 14,620.20

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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.