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Finding the Fourth Proportional to 5,494.34, 8,242.74 and 1,746.34

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Solution

The fourth proportional to 5,494.34, 8,242.74 and 1,746.34 is: 2,619.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.34 : 8,242.74 = 1,746.34 : x
  2. Step 2: Convert to fraction form
    5,494.34/8,242.74 = 1,746.34/x
  3. Step 3: Cross multiply
    5,494.34x = 8,242.74 × 1,746.34
  4. Step 4: Simplify right side
    5,494.34x = 14,394,626.57
  5. Step 5: Solve for x
    x = 14,394,626.57/5,494.34
  6. Step 6: Final answer
    x = 2,619.90

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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.