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Finding the Fourth Proportional to 8,274.48, 12,411.11 and 2,431.55

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Solution

The fourth proportional to 8,274.48, 12,411.11 and 2,431.55 is: 3,647.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.48 : 12,411.11 = 2,431.55 : x
  2. Step 2: Convert to fraction form
    8,274.48/12,411.11 = 2,431.55/x
  3. Step 3: Cross multiply
    8,274.48x = 12,411.11 × 2,431.55
  4. Step 4: Simplify right side
    8,274.48x = 30,178,160.31
  5. Step 5: Solve for x
    x = 30,178,160.31/8,274.48
  6. Step 6: Final answer
    x = 3,647.14

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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.