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Finding the Fourth Proportional to 7,835.70, 11,753.03 and 3,676.62

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Solution

The fourth proportional to 7,835.70, 11,753.03 and 3,676.62 is: 5,514.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.70 : 11,753.03 = 3,676.62 : x
  2. Step 2: Convert to fraction form
    7,835.70/11,753.03 = 3,676.62/x
  3. Step 3: Cross multiply
    7,835.70x = 11,753.03 × 3,676.62
  4. Step 4: Simplify right side
    7,835.70x = 43,211,478.42
  5. Step 5: Solve for x
    x = 43,211,478.42/7,835.70
  6. Step 6: Final answer
    x = 5,514.69

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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.