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Finding the Fourth Proportional to 6,894.32, 9,514.16 and 3,750.50

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Solution

The fourth proportional to 6,894.32, 9,514.16 and 3,750.50 is: 5,175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.32 : 9,514.16 = 3,750.50 : x
  2. Step 2: Convert to fraction form
    6,894.32/9,514.16 = 3,750.50/x
  3. Step 3: Cross multiply
    6,894.32x = 9,514.16 × 3,750.50
  4. Step 4: Simplify right side
    6,894.32x = 35,682,857.08
  5. Step 5: Solve for x
    x = 35,682,857.08/6,894.32
  6. Step 6: Final answer
    x = 5,175.69

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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.