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Finding the Fourth Proportional to 5,969.59, 8,944.10 and 4,114.08

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Solution

The fourth proportional to 5,969.59, 8,944.10 and 4,114.08 is: 6,164.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.59 : 8,944.10 = 4,114.08 : x
  2. Step 2: Convert to fraction form
    5,969.59/8,944.10 = 4,114.08/x
  3. Step 3: Cross multiply
    5,969.59x = 8,944.10 × 4,114.08
  4. Step 4: Simplify right side
    5,969.59x = 36,796,742.93
  5. Step 5: Solve for x
    x = 36,796,742.93/5,969.59
  6. Step 6: Final answer
    x = 6,164.03

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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.