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Finding the Fourth Proportional to 4,123.63, 5,690.63 and 2,467.63

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Solution

The fourth proportional to 4,123.63, 5,690.63 and 2,467.63 is: 3,405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.63 : 5,690.63 = 2,467.63 : x
  2. Step 2: Convert to fraction form
    4,123.63/5,690.63 = 2,467.63/x
  3. Step 3: Cross multiply
    4,123.63x = 5,690.63 × 2,467.63
  4. Step 4: Simplify right side
    4,123.63x = 14,042,328.52
  5. Step 5: Solve for x
    x = 14,042,328.52/4,123.63
  6. Step 6: Final answer
    x = 3,405.34

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.