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Finding the Fourth Proportional to 6,271.74, 9,406.84 and 3,640.68

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Solution

The fourth proportional to 6,271.74, 9,406.84 and 3,640.68 is: 5,460.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.74 : 9,406.84 = 3,640.68 : x
  2. Step 2: Convert to fraction form
    6,271.74/9,406.84 = 3,640.68/x
  3. Step 3: Cross multiply
    6,271.74x = 9,406.84 × 3,640.68
  4. Step 4: Simplify right side
    6,271.74x = 34,247,294.25
  5. Step 5: Solve for x
    x = 34,247,294.25/6,271.74
  6. Step 6: Final answer
    x = 5,460.57

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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.