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Finding the Fourth Proportional to 13,820.60, 20,730.90 and 6,422.60

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Solution

The fourth proportional to 13,820.60, 20,730.90 and 6,422.60 is: 9,633.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.60 : 20,730.90 = 6,422.60 : x
  2. Step 2: Convert to fraction form
    13,820.60/20,730.90 = 6,422.60/x
  3. Step 3: Cross multiply
    13,820.60x = 20,730.90 × 6,422.60
  4. Step 4: Simplify right side
    13,820.60x = 133,146,278.34
  5. Step 5: Solve for x
    x = 133,146,278.34/13,820.60
  6. Step 6: Final answer
    x = 9,633.90

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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.