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Finding the Fourth Proportional to 8,201.60, 12,302.40 and 5,431.40

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Solution

The fourth proportional to 8,201.60, 12,302.40 and 5,431.40 is: 8,147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.60 : 12,302.40 = 5,431.40 : x
  2. Step 2: Convert to fraction form
    8,201.60/12,302.40 = 5,431.40/x
  3. Step 3: Cross multiply
    8,201.60x = 12,302.40 × 5,431.40
  4. Step 4: Simplify right side
    8,201.60x = 66,819,255.36
  5. Step 5: Solve for x
    x = 66,819,255.36/8,201.60
  6. Step 6: Final answer
    x = 8,147.10

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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.