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Finding the Fourth Proportional to 6,471.37, 9,699.22 and 4,594.31

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Solution

The fourth proportional to 6,471.37, 9,699.22 and 4,594.31 is: 6,885.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.37 : 9,699.22 = 4,594.31 : x
  2. Step 2: Convert to fraction form
    6,471.37/9,699.22 = 4,594.31/x
  3. Step 3: Cross multiply
    6,471.37x = 9,699.22 × 4,594.31
  4. Step 4: Simplify right side
    6,471.37x = 44,561,223.44
  5. Step 5: Solve for x
    x = 44,561,223.44/6,471.37
  6. Step 6: Final answer
    x = 6,885.90

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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.