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Finding the Fourth Proportional to 4,922.49, 7,382.48 and 1,458.93

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Solution

The fourth proportional to 4,922.49, 7,382.48 and 1,458.93 is: 2,188.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.49 : 7,382.48 = 1,458.93 : x
  2. Step 2: Convert to fraction form
    4,922.49/7,382.48 = 1,458.93/x
  3. Step 3: Cross multiply
    4,922.49x = 7,382.48 × 1,458.93
  4. Step 4: Simplify right side
    4,922.49x = 10,770,514.25
  5. Step 5: Solve for x
    x = 10,770,514.25/4,922.49
  6. Step 6: Final answer
    x = 2,188.02

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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.