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Finding the Fourth Proportional to 4,893.63, 7,339.76 and 1,606.30

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Solution

The fourth proportional to 4,893.63, 7,339.76 and 1,606.30 is: 2,409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893.63 : 7,339.76 = 1,606.30 : x
  2. Step 2: Convert to fraction form
    4,893.63/7,339.76 = 1,606.30/x
  3. Step 3: Cross multiply
    4,893.63x = 7,339.76 × 1,606.30
  4. Step 4: Simplify right side
    4,893.63x = 11,789,856.49
  5. Step 5: Solve for x
    x = 11,789,856.49/4,893.63
  6. Step 6: Final answer
    x = 2,409.23

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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.