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Finding the Fourth Proportional to 5,844.96, 8,767.34 and 1,684.80

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Solution

The fourth proportional to 5,844.96, 8,767.34 and 1,684.80 is: 2,527.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.96 : 8,767.34 = 1,684.80 : x
  2. Step 2: Convert to fraction form
    5,844.96/8,767.34 = 1,684.80/x
  3. Step 3: Cross multiply
    5,844.96x = 8,767.34 × 1,684.80
  4. Step 4: Simplify right side
    5,844.96x = 14,771,212.33
  5. Step 5: Solve for x
    x = 14,771,212.33/5,844.96
  6. Step 6: Final answer
    x = 2,527.17

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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.