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Finding the Fourth Proportional to 8,265.98, 12,455.80 and 6,837.14

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Solution

The fourth proportional to 8,265.98, 12,455.80 and 6,837.14 is: 10,302.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.98 : 12,455.80 = 6,837.14 : x
  2. Step 2: Convert to fraction form
    8,265.98/12,455.80 = 6,837.14/x
  3. Step 3: Cross multiply
    8,265.98x = 12,455.80 × 6,837.14
  4. Step 4: Simplify right side
    8,265.98x = 85,162,014.23
  5. Step 5: Solve for x
    x = 85,162,014.23/8,265.98
  6. Step 6: Final answer
    x = 10,302.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.