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Finding the Fourth Proportional to 6,214.44, 9,300.06 and 5,090.88

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Solution

The fourth proportional to 6,214.44, 9,300.06 and 5,090.88 is: 7,618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.44 : 9,300.06 = 5,090.88 : x
  2. Step 2: Convert to fraction form
    6,214.44/9,300.06 = 5,090.88/x
  3. Step 3: Cross multiply
    6,214.44x = 9,300.06 × 5,090.88
  4. Step 4: Simplify right side
    6,214.44x = 47,345,489.45
  5. Step 5: Solve for x
    x = 47,345,489.45/6,214.44
  6. Step 6: Final answer
    x = 7,618.63

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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.