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Finding the Fourth Proportional to 8,269.40, 12,396.80 and 3,071.63

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Solution

The fourth proportional to 8,269.40, 12,396.80 and 3,071.63 is: 4,604.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.40 : 12,396.80 = 3,071.63 : x
  2. Step 2: Convert to fraction form
    8,269.40/12,396.80 = 3,071.63/x
  3. Step 3: Cross multiply
    8,269.40x = 12,396.80 × 3,071.63
  4. Step 4: Simplify right side
    8,269.40x = 38,078,328.48
  5. Step 5: Solve for x
    x = 38,078,328.48/8,269.40
  6. Step 6: Final answer
    x = 4,604.73

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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.