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Finding the Fourth Proportional to 5,881.68, 8,814.24 and 4,643.64

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Solution

The fourth proportional to 5,881.68, 8,814.24 and 4,643.64 is: 6,958.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.68 : 8,814.24 = 4,643.64 : x
  2. Step 2: Convert to fraction form
    5,881.68/8,814.24 = 4,643.64/x
  3. Step 3: Cross multiply
    5,881.68x = 8,814.24 × 4,643.64
  4. Step 4: Simplify right side
    5,881.68x = 40,930,157.43
  5. Step 5: Solve for x
    x = 40,930,157.43/5,881.68
  6. Step 6: Final answer
    x = 6,958.92

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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.