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Finding the Fourth Proportional to 4,596.48, 6,892.11 and 4,204.64

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Solution

The fourth proportional to 4,596.48, 6,892.11 and 4,204.64 is: 6,304.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.48 : 6,892.11 = 4,204.64 : x
  2. Step 2: Convert to fraction form
    4,596.48/6,892.11 = 4,204.64/x
  3. Step 3: Cross multiply
    4,596.48x = 6,892.11 × 4,204.64
  4. Step 4: Simplify right side
    4,596.48x = 28,978,841.39
  5. Step 5: Solve for x
    x = 28,978,841.39/4,596.48
  6. Step 6: Final answer
    x = 6,304.57

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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.