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Finding the Fourth Proportional to 4,564.70, 6,847.05 and 4,309.55

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Solution

The fourth proportional to 4,564.70, 6,847.05 and 4,309.55 is: 6,464.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.70 : 6,847.05 = 4,309.55 : x
  2. Step 2: Convert to fraction form
    4,564.70/6,847.05 = 4,309.55/x
  3. Step 3: Cross multiply
    4,564.70x = 6,847.05 × 4,309.55
  4. Step 4: Simplify right side
    4,564.70x = 29,507,704.33
  5. Step 5: Solve for x
    x = 29,507,704.33/4,564.70
  6. Step 6: Final answer
    x = 6,464.33

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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.