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Finding the Fourth Proportional to 8,296.71, 12,438.50 and 4,134.47

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Solution

The fourth proportional to 8,296.71, 12,438.50 and 4,134.47 is: 6,198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.71 : 12,438.50 = 4,134.47 : x
  2. Step 2: Convert to fraction form
    8,296.71/12,438.50 = 4,134.47/x
  3. Step 3: Cross multiply
    8,296.71x = 12,438.50 × 4,134.47
  4. Step 4: Simplify right side
    8,296.71x = 51,426,522.23
  5. Step 5: Solve for x
    x = 51,426,522.23/8,296.71
  6. Step 6: Final answer
    x = 6,198.42

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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.