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Finding the Fourth Proportional to 8,270.89, 12,406.53 and 2,114.89

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Solution

The fourth proportional to 8,270.89, 12,406.53 and 2,114.89 is: 3,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.89 : 12,406.53 = 2,114.89 : x
  2. Step 2: Convert to fraction form
    8,270.89/12,406.53 = 2,114.89/x
  3. Step 3: Cross multiply
    8,270.89x = 12,406.53 × 2,114.89
  4. Step 4: Simplify right side
    8,270.89x = 26,238,446.23
  5. Step 5: Solve for x
    x = 26,238,446.23/8,270.89
  6. Step 6: Final answer
    x = 3,172.38

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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.