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Finding the Fourth Proportional to 7,912.63, 10,919.05 and 4,327.78

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Solution

The fourth proportional to 7,912.63, 10,919.05 and 4,327.78 is: 5,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.63 : 10,919.05 = 4,327.78 : x
  2. Step 2: Convert to fraction form
    7,912.63/10,919.05 = 4,327.78/x
  3. Step 3: Cross multiply
    7,912.63x = 10,919.05 × 4,327.78
  4. Step 4: Simplify right side
    7,912.63x = 47,255,246.21
  5. Step 5: Solve for x
    x = 47,255,246.21/7,912.63
  6. Step 6: Final answer
    x = 5,972.13

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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.