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Finding the Fourth Proportional to 5,092.94, 6,975.58 and 4,794.06

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Solution

The fourth proportional to 5,092.94, 6,975.58 and 4,794.06 is: 6,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.94 : 6,975.58 = 4,794.06 : x
  2. Step 2: Convert to fraction form
    5,092.94/6,975.58 = 4,794.06/x
  3. Step 3: Cross multiply
    5,092.94x = 6,975.58 × 4,794.06
  4. Step 4: Simplify right side
    5,092.94x = 33,441,349.05
  5. Step 5: Solve for x
    x = 33,441,349.05/5,092.94
  6. Step 6: Final answer
    x = 6,566.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.