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Finding the Fourth Proportional to 6,524.64, 9,786.96 and 1,594.26

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Solution

The fourth proportional to 6,524.64, 9,786.96 and 1,594.26 is: 2,391.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.64 : 9,786.96 = 1,594.26 : x
  2. Step 2: Convert to fraction form
    6,524.64/9,786.96 = 1,594.26/x
  3. Step 3: Cross multiply
    6,524.64x = 9,786.96 × 1,594.26
  4. Step 4: Simplify right side
    6,524.64x = 15,602,958.85
  5. Step 5: Solve for x
    x = 15,602,958.85/6,524.64
  6. Step 6: Final answer
    x = 2,391.39

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Similar ratio
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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.