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Finding the Fourth Proportional to 6,308.44, 9,461.43 and 2,148.41

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Solution

The fourth proportional to 6,308.44, 9,461.43 and 2,148.41 is: 3,222.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.44 : 9,461.43 = 2,148.41 : x
  2. Step 2: Convert to fraction form
    6,308.44/9,461.43 = 2,148.41/x
  3. Step 3: Cross multiply
    6,308.44x = 9,461.43 × 2,148.41
  4. Step 4: Simplify right side
    6,308.44x = 20,327,054.48
  5. Step 5: Solve for x
    x = 20,327,054.48/6,308.44
  6. Step 6: Final answer
    x = 3,222.20

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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.