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Finding the Fourth Proportional to 4,863.54, 7,297.65 and 1,941.78

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Solution

The fourth proportional to 4,863.54, 7,297.65 and 1,941.78 is: 2,913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.54 : 7,297.65 = 1,941.78 : x
  2. Step 2: Convert to fraction form
    4,863.54/7,297.65 = 1,941.78/x
  3. Step 3: Cross multiply
    4,863.54x = 7,297.65 × 1,941.78
  4. Step 4: Simplify right side
    4,863.54x = 14,170,430.82
  5. Step 5: Solve for x
    x = 14,170,430.82/4,863.54
  6. Step 6: Final answer
    x = 2,913.60

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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.