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Finding the Fourth Proportional to 4,576.36, 6,876.24 and 4,310.77

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Solution

The fourth proportional to 4,576.36, 6,876.24 and 4,310.77 is: 6,477.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.36 : 6,876.24 = 4,310.77 : x
  2. Step 2: Convert to fraction form
    4,576.36/6,876.24 = 4,310.77/x
  3. Step 3: Cross multiply
    4,576.36x = 6,876.24 × 4,310.77
  4. Step 4: Simplify right side
    4,576.36x = 29,641,889.10
  5. Step 5: Solve for x
    x = 29,641,889.10/4,576.36
  6. Step 6: Final answer
    x = 6,477.18

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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.