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Finding the Fourth Proportional to 6,894.75, 9,514.70 and 3,750.94

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Solution

The fourth proportional to 6,894.75, 9,514.70 and 3,750.94 is: 5,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.75 : 9,514.70 = 3,750.94 : x
  2. Step 2: Convert to fraction form
    6,894.75/9,514.70 = 3,750.94/x
  3. Step 3: Cross multiply
    6,894.75x = 9,514.70 × 3,750.94
  4. Step 4: Simplify right side
    6,894.75x = 35,689,076.02
  5. Step 5: Solve for x
    x = 35,689,076.02/6,894.75
  6. Step 6: Final answer
    x = 5,176.27

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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.