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Finding the Fourth Proportional to 9,090.40, 13,635.60 and 6,786.40

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Solution

The fourth proportional to 9,090.40, 13,635.60 and 6,786.40 is: 10,179.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090.40 : 13,635.60 = 6,786.40 : x
  2. Step 2: Convert to fraction form
    9,090.40/13,635.60 = 6,786.40/x
  3. Step 3: Cross multiply
    9,090.40x = 13,635.60 × 6,786.40
  4. Step 4: Simplify right side
    9,090.40x = 92,536,635.84
  5. Step 5: Solve for x
    x = 92,536,635.84/9,090.40
  6. Step 6: Final answer
    x = 10,179.60

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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.