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Finding the Fourth Proportional to 4,847.42, 7,271.82 and 1,559.42

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Solution

The fourth proportional to 4,847.42, 7,271.82 and 1,559.42 is: 2,339.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.42 : 7,271.82 = 1,559.42 : x
  2. Step 2: Convert to fraction form
    4,847.42/7,271.82 = 1,559.42/x
  3. Step 3: Cross multiply
    4,847.42x = 7,271.82 × 1,559.42
  4. Step 4: Simplify right side
    4,847.42x = 11,339,785.19
  5. Step 5: Solve for x
    x = 11,339,785.19/4,847.42
  6. Step 6: Final answer
    x = 2,339.35

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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.