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Finding the Fourth Proportional to 4,872.24, 7,302.60 and 4,296.24

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Solution

The fourth proportional to 4,872.24, 7,302.60 and 4,296.24 is: 6,439.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.24 : 7,302.60 = 4,296.24 : x
  2. Step 2: Convert to fraction form
    4,872.24/7,302.60 = 4,296.24/x
  3. Step 3: Cross multiply
    4,872.24x = 7,302.60 × 4,296.24
  4. Step 4: Simplify right side
    4,872.24x = 31,373,722.22
  5. Step 5: Solve for x
    x = 31,373,722.22/4,872.24
  6. Step 6: Final answer
    x = 6,439.28

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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.