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Finding the Fourth Proportional to 4,806.57, 7,213.90 and 1,886.92

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Solution

The fourth proportional to 4,806.57, 7,213.90 and 1,886.92 is: 2,831.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.57 : 7,213.90 = 1,886.92 : x
  2. Step 2: Convert to fraction form
    4,806.57/7,213.90 = 1,886.92/x
  3. Step 3: Cross multiply
    4,806.57x = 7,213.90 × 1,886.92
  4. Step 4: Simplify right side
    4,806.57x = 13,612,052.19
  5. Step 5: Solve for x
    x = 13,612,052.19/4,806.57
  6. Step 6: Final answer
    x = 2,831.97

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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.