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Finding the Fourth Proportional to 4,674.88, 6,982.02 and 4,235.26

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Solution

The fourth proportional to 4,674.88, 6,982.02 and 4,235.26 is: 6,325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.88 : 6,982.02 = 4,235.26 : x
  2. Step 2: Convert to fraction form
    4,674.88/6,982.02 = 4,235.26/x
  3. Step 3: Cross multiply
    4,674.88x = 6,982.02 × 4,235.26
  4. Step 4: Simplify right side
    4,674.88x = 29,570,670.03
  5. Step 5: Solve for x
    x = 29,570,670.03/4,674.88
  6. Step 6: Final answer
    x = 6,325.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.