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Finding the Fourth Proportional to 6,953.46, 9,595.49 and 3,809.78

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Solution

The fourth proportional to 6,953.46, 9,595.49 and 3,809.78 is: 5,257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.46 : 9,595.49 = 3,809.78 : x
  2. Step 2: Convert to fraction form
    6,953.46/9,595.49 = 3,809.78/x
  3. Step 3: Cross multiply
    6,953.46x = 9,595.49 × 3,809.78
  4. Step 4: Simplify right side
    6,953.46x = 36,556,705.89
  5. Step 5: Solve for x
    x = 36,556,705.89/6,953.46
  6. Step 6: Final answer
    x = 5,257.34

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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.