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Finding the Fourth Proportional to 6,123, 8,446.96 and 3,763.72

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Solution

The fourth proportional to 6,123, 8,446.96 and 3,763.72 is: 5,192.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123 : 8,446.96 = 3,763.72 : x
  2. Step 2: Convert to fraction form
    6,123/8,446.96 = 3,763.72/x
  3. Step 3: Cross multiply
    6,123x = 8,446.96 × 3,763.72
  4. Step 4: Simplify right side
    6,123x = 31,791,992.29
  5. Step 5: Solve for x
    x = 31,791,992.29/6,123
  6. Step 6: Final answer
    x = 5,192.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.