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Finding the Fourth Proportional to 8,090.40, 12,164.40 and 6,823.20

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Solution

The fourth proportional to 8,090.40, 12,164.40 and 6,823.20 is: 10,259.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,090.40 : 12,164.40 = 6,823.20 : x
  2. Step 2: Convert to fraction form
    8,090.40/12,164.40 = 6,823.20/x
  3. Step 3: Cross multiply
    8,090.40x = 12,164.40 × 6,823.20
  4. Step 4: Simplify right side
    8,090.40x = 83,000,134.08
  5. Step 5: Solve for x
    x = 83,000,134.08/8,090.40
  6. Step 6: Final answer
    x = 10,259.09

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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.