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Finding the Fourth Proportional to 3,142.95, 4,714.41 and 834.45

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Solution

The fourth proportional to 3,142.95, 4,714.41 and 834.45 is: 1,251.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.95 : 4,714.41 = 834.45 : x
  2. Step 2: Convert to fraction form
    3,142.95/4,714.41 = 834.45/x
  3. Step 3: Cross multiply
    3,142.95x = 4,714.41 × 834.45
  4. Step 4: Simplify right side
    3,142.95x = 3,933,939.42
  5. Step 5: Solve for x
    x = 3,933,939.42/3,142.95
  6. Step 6: Final answer
    x = 1,251.67

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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.