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Finding the Fourth Proportional to 4,893.06, 7,338.10 and 1,605.40

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Solution

The fourth proportional to 4,893.06, 7,338.10 and 1,605.40 is: 2,407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893.06 : 7,338.10 = 1,605.40 : x
  2. Step 2: Convert to fraction form
    4,893.06/7,338.10 = 1,605.40/x
  3. Step 3: Cross multiply
    4,893.06x = 7,338.10 × 1,605.40
  4. Step 4: Simplify right side
    4,893.06x = 11,780,585.74
  5. Step 5: Solve for x
    x = 11,780,585.74/4,893.06
  6. Step 6: Final answer
    x = 2,407.61

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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.