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Finding the Fourth Proportional to 4,733.88, 6,532.75 and 2,638.00

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Solution

The fourth proportional to 4,733.88, 6,532.75 and 2,638.00 is: 3,640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.88 : 6,532.75 = 2,638.00 : x
  2. Step 2: Convert to fraction form
    4,733.88/6,532.75 = 2,638.00/x
  3. Step 3: Cross multiply
    4,733.88x = 6,532.75 × 2,638.00
  4. Step 4: Simplify right side
    4,733.88x = 17,233,405.96
  5. Step 5: Solve for x
    x = 17,233,405.96/4,733.88
  6. Step 6: Final answer
    x = 3,640.44

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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.