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Finding the Fourth Proportional to 8,302.10, 12,450.71 and 6,837.62

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Solution

The fourth proportional to 8,302.10, 12,450.71 and 6,837.62 is: 10,254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.10 : 12,450.71 = 6,837.62 : x
  2. Step 2: Convert to fraction form
    8,302.10/12,450.71 = 6,837.62/x
  3. Step 3: Cross multiply
    8,302.10x = 12,450.71 × 6,837.62
  4. Step 4: Simplify right side
    8,302.10x = 85,133,178.55
  5. Step 5: Solve for x
    x = 85,133,178.55/8,302.10
  6. Step 6: Final answer
    x = 10,254.42

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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.