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Finding the Fourth Proportional to 6,296.34, 9,445.72 and 1,914.44

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Solution

The fourth proportional to 6,296.34, 9,445.72 and 1,914.44 is: 2,872.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.34 : 9,445.72 = 1,914.44 : x
  2. Step 2: Convert to fraction form
    6,296.34/9,445.72 = 1,914.44/x
  3. Step 3: Cross multiply
    6,296.34x = 9,445.72 × 1,914.44
  4. Step 4: Simplify right side
    6,296.34x = 18,083,264.20
  5. Step 5: Solve for x
    x = 18,083,264.20/6,296.34
  6. Step 6: Final answer
    x = 2,872.03

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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.