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Finding the Fourth Proportional to 4,970.93, 6,876.83 and 4,084.97

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Solution

The fourth proportional to 4,970.93, 6,876.83 and 4,084.97 is: 5,651.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.93 : 6,876.83 = 4,084.97 : x
  2. Step 2: Convert to fraction form
    4,970.93/6,876.83 = 4,084.97/x
  3. Step 3: Cross multiply
    4,970.93x = 6,876.83 × 4,084.97
  4. Step 4: Simplify right side
    4,970.93x = 28,091,620.07
  5. Step 5: Solve for x
    x = 28,091,620.07/4,970.93
  6. Step 6: Final answer
    x = 5,651.19

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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.