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Finding the Fourth Proportional to 8,201.35, 12,302.03 and 8,201.35

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Solution

The fourth proportional to 8,201.35, 12,302.03 and 8,201.35 is: 12,302.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.35 : 12,302.03 = 8,201.35 : x
  2. Step 2: Convert to fraction form
    8,201.35/12,302.03 = 8,201.35/x
  3. Step 3: Cross multiply
    8,201.35x = 12,302.03 × 8,201.35
  4. Step 4: Simplify right side
    8,201.35x = 100,893,253.74
  5. Step 5: Solve for x
    x = 100,893,253.74/8,201.35
  6. Step 6: Final answer
    x = 12,302.03

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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.