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Finding the Fourth Proportional to 8,143.90, 12,215.94 and 2,597.20

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Solution

The fourth proportional to 8,143.90, 12,215.94 and 2,597.20 is: 3,895.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.90 : 12,215.94 = 2,597.20 : x
  2. Step 2: Convert to fraction form
    8,143.90/12,215.94 = 2,597.20/x
  3. Step 3: Cross multiply
    8,143.90x = 12,215.94 × 2,597.20
  4. Step 4: Simplify right side
    8,143.90x = 31,727,239.37
  5. Step 5: Solve for x
    x = 31,727,239.37/8,143.90
  6. Step 6: Final answer
    x = 3,895.83

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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.