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Finding the Fourth Proportional to 6,809.89, 9,398.32 and 4,576.41

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Solution

The fourth proportional to 6,809.89, 9,398.32 and 4,576.41 is: 6,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.89 : 9,398.32 = 4,576.41 : x
  2. Step 2: Convert to fraction form
    6,809.89/9,398.32 = 4,576.41/x
  3. Step 3: Cross multiply
    6,809.89x = 9,398.32 × 4,576.41
  4. Step 4: Simplify right side
    6,809.89x = 43,010,565.63
  5. Step 5: Solve for x
    x = 43,010,565.63/6,809.89
  6. Step 6: Final answer
    x = 6,315.90

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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.