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Finding the Fourth Proportional to 5,929.50, 8,894.73 and 1,825.50

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Solution

The fourth proportional to 5,929.50, 8,894.73 and 1,825.50 is: 2,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.50 : 8,894.73 = 1,825.50 : x
  2. Step 2: Convert to fraction form
    5,929.50/8,894.73 = 1,825.50/x
  3. Step 3: Cross multiply
    5,929.50x = 8,894.73 × 1,825.50
  4. Step 4: Simplify right side
    5,929.50x = 16,237,329.62
  5. Step 5: Solve for x
    x = 16,237,329.62/5,929.50
  6. Step 6: Final answer
    x = 2,738.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.