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Finding the Fourth Proportional to 6,296.66, 9,445.29 and 1,914.15

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Solution

The fourth proportional to 6,296.66, 9,445.29 and 1,914.15 is: 2,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.66 : 9,445.29 = 1,914.15 : x
  2. Step 2: Convert to fraction form
    6,296.66/9,445.29 = 1,914.15/x
  3. Step 3: Cross multiply
    6,296.66x = 9,445.29 × 1,914.15
  4. Step 4: Simplify right side
    6,296.66x = 18,079,701.85
  5. Step 5: Solve for x
    x = 18,079,701.85/6,296.66
  6. Step 6: Final answer
    x = 2,871.32

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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.