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Finding the Fourth Proportional to 5,846.40, 8,771.04 and 4,118.40

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Solution

The fourth proportional to 5,846.40, 8,771.04 and 4,118.40 is: 6,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.40 : 8,771.04 = 4,118.40 : x
  2. Step 2: Convert to fraction form
    5,846.40/8,771.04 = 4,118.40/x
  3. Step 3: Cross multiply
    5,846.40x = 8,771.04 × 4,118.40
  4. Step 4: Simplify right side
    5,846.40x = 36,122,651.14
  5. Step 5: Solve for x
    x = 36,122,651.14/5,846.40
  6. Step 6: Final answer
    x = 6,178.61

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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.