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Finding the Fourth Proportional to 6,548.70, 9,808.34 and 5,083.41

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Solution

The fourth proportional to 6,548.70, 9,808.34 and 5,083.41 is: 7,613.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.70 : 9,808.34 = 5,083.41 : x
  2. Step 2: Convert to fraction form
    6,548.70/9,808.34 = 5,083.41/x
  3. Step 3: Cross multiply
    6,548.70x = 9,808.34 × 5,083.41
  4. Step 4: Simplify right side
    6,548.70x = 49,859,788.22
  5. Step 5: Solve for x
    x = 49,859,788.22/6,548.70
  6. Step 6: Final answer
    x = 7,613.69

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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.