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Finding the Fourth Proportional to 5,986.65, 8,982.87 and 4,242.84

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Solution

The fourth proportional to 5,986.65, 8,982.87 and 4,242.84 is: 6,366.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.65 : 8,982.87 = 4,242.84 : x
  2. Step 2: Convert to fraction form
    5,986.65/8,982.87 = 4,242.84/x
  3. Step 3: Cross multiply
    5,986.65x = 8,982.87 × 4,242.84
  4. Step 4: Simplify right side
    5,986.65x = 38,112,880.15
  5. Step 5: Solve for x
    x = 38,112,880.15/5,986.65
  6. Step 6: Final answer
    x = 6,366.31

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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.