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Finding the Fourth Proportional to 7,709.46, 11,556.90 and 7,002.33

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Solution

The fourth proportional to 7,709.46, 11,556.90 and 7,002.33 is: 10,496.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.46 : 11,556.90 = 7,002.33 : x
  2. Step 2: Convert to fraction form
    7,709.46/11,556.90 = 7,002.33/x
  3. Step 3: Cross multiply
    7,709.46x = 11,556.90 × 7,002.33
  4. Step 4: Simplify right side
    7,709.46x = 80,925,227.58
  5. Step 5: Solve for x
    x = 80,925,227.58/7,709.46
  6. Step 6: Final answer
    x = 10,496.87

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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.