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Finding the Fourth Proportional to 5,157.60, 7,769.27 and 4,709.27

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Solution

The fourth proportional to 5,157.60, 7,769.27 and 4,709.27 is: 7,093.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.60 : 7,769.27 = 4,709.27 : x
  2. Step 2: Convert to fraction form
    5,157.60/7,769.27 = 4,709.27/x
  3. Step 3: Cross multiply
    5,157.60x = 7,769.27 × 4,709.27
  4. Step 4: Simplify right side
    5,157.60x = 36,587,527.74
  5. Step 5: Solve for x
    x = 36,587,527.74/5,157.60
  6. Step 6: Final answer
    x = 7,093.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.