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Finding the Fourth Proportional to 4,188.24, 6,321.72 and 4,188.24

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Solution

The fourth proportional to 4,188.24, 6,321.72 and 4,188.24 is: 6,321.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.24 : 6,321.72 = 4,188.24 : x
  2. Step 2: Convert to fraction form
    4,188.24/6,321.72 = 4,188.24/x
  3. Step 3: Cross multiply
    4,188.24x = 6,321.72 × 4,188.24
  4. Step 4: Simplify right side
    4,188.24x = 26,476,880.57
  5. Step 5: Solve for x
    x = 26,476,880.57/4,188.24
  6. Step 6: Final answer
    x = 6,321.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.