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Finding the Fourth Proportional to 6,314.17, 9,466.02 and 2,619.04

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Solution

The fourth proportional to 6,314.17, 9,466.02 and 2,619.04 is: 3,926.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.17 : 9,466.02 = 2,619.04 : x
  2. Step 2: Convert to fraction form
    6,314.17/9,466.02 = 2,619.04/x
  3. Step 3: Cross multiply
    6,314.17x = 9,466.02 × 2,619.04
  4. Step 4: Simplify right side
    6,314.17x = 24,791,885.02
  5. Step 5: Solve for x
    x = 24,791,885.02/6,314.17
  6. Step 6: Final answer
    x = 3,926.39

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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.