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Finding the Fourth Proportional to 6,507.44, 8,984.12 and 4,273.22

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Solution

The fourth proportional to 6,507.44, 8,984.12 and 4,273.22 is: 5,899.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.44 : 8,984.12 = 4,273.22 : x
  2. Step 2: Convert to fraction form
    6,507.44/8,984.12 = 4,273.22/x
  3. Step 3: Cross multiply
    6,507.44x = 8,984.12 × 4,273.22
  4. Step 4: Simplify right side
    6,507.44x = 38,391,122.36
  5. Step 5: Solve for x
    x = 38,391,122.36/6,507.44
  6. Step 6: Final answer
    x = 5,899.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.