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Finding the Fourth Proportional to 6,900, 9,524.40 and 4,105.44

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Solution

The fourth proportional to 6,900, 9,524.40 and 4,105.44 is: 5,666.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900 : 9,524.40 = 4,105.44 : x
  2. Step 2: Convert to fraction form
    6,900/9,524.40 = 4,105.44/x
  3. Step 3: Cross multiply
    6,900x = 9,524.40 × 4,105.44
  4. Step 4: Simplify right side
    6,900x = 39,101,852.74
  5. Step 5: Solve for x
    x = 39,101,852.74/6,900
  6. Step 6: Final answer
    x = 5,666.94

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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.