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Finding the Fourth Proportional to 4,235.42, 6,353.04 and 1,157.42

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Solution

The fourth proportional to 4,235.42, 6,353.04 and 1,157.42 is: 1,736.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.42 : 6,353.04 = 1,157.42 : x
  2. Step 2: Convert to fraction form
    4,235.42/6,353.04 = 1,157.42/x
  3. Step 3: Cross multiply
    4,235.42x = 6,353.04 × 1,157.42
  4. Step 4: Simplify right side
    4,235.42x = 7,353,135.56
  5. Step 5: Solve for x
    x = 7,353,135.56/4,235.42
  6. Step 6: Final answer
    x = 1,736.11

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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.