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Finding the Fourth Proportional to 13,813.80, 20,672.10 and 9,634.20

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Solution

The fourth proportional to 13,813.80, 20,672.10 and 9,634.20 is: 14,417.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.80 : 20,672.10 = 9,634.20 : x
  2. Step 2: Convert to fraction form
    13,813.80/20,672.10 = 9,634.20/x
  3. Step 3: Cross multiply
    13,813.80x = 20,672.10 × 9,634.20
  4. Step 4: Simplify right side
    13,813.80x = 199,159,145.82
  5. Step 5: Solve for x
    x = 199,159,145.82/13,813.80
  6. Step 6: Final answer
    x = 14,417.40

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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.