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Finding the Fourth Proportional to 4,157.26, 6,235.89 and 1,524.89

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Solution

The fourth proportional to 4,157.26, 6,235.89 and 1,524.89 is: 2,287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.26 : 6,235.89 = 1,524.89 : x
  2. Step 2: Convert to fraction form
    4,157.26/6,235.89 = 1,524.89/x
  3. Step 3: Cross multiply
    4,157.26x = 6,235.89 × 1,524.89
  4. Step 4: Simplify right side
    4,157.26x = 9,509,007.50
  5. Step 5: Solve for x
    x = 9,509,007.50/4,157.26
  6. Step 6: Final answer
    x = 2,287.33

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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.