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Finding the Fourth Proportional to 6,894.35, 9,514.15 and 3,750.54

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Solution

The fourth proportional to 6,894.35, 9,514.15 and 3,750.54 is: 5,175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.35 : 9,514.15 = 3,750.54 : x
  2. Step 2: Convert to fraction form
    6,894.35/9,514.15 = 3,750.54/x
  3. Step 3: Cross multiply
    6,894.35x = 9,514.15 × 3,750.54
  4. Step 4: Simplify right side
    6,894.35x = 35,683,200.14
  5. Step 5: Solve for x
    x = 35,683,200.14/6,894.35
  6. Step 6: Final answer
    x = 5,175.72

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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.