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Finding the Fourth Proportional to 3,175.56, 4,763.60 and 984.30

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Solution

The fourth proportional to 3,175.56, 4,763.60 and 984.30 is: 1,476.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.56 : 4,763.60 = 984.30 : x
  2. Step 2: Convert to fraction form
    3,175.56/4,763.60 = 984.30/x
  3. Step 3: Cross multiply
    3,175.56x = 4,763.60 × 984.30
  4. Step 4: Simplify right side
    3,175.56x = 4,688,811.48
  5. Step 5: Solve for x
    x = 4,688,811.48/3,175.56
  6. Step 6: Final answer
    x = 1,476.53

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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.