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Finding the Fourth Proportional to 5,825.30, 8,738.30 and 1,664.99

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Solution

The fourth proportional to 5,825.30, 8,738.30 and 1,664.99 is: 2,497.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.30 : 8,738.30 = 1,664.99 : x
  2. Step 2: Convert to fraction form
    5,825.30/8,738.30 = 1,664.99/x
  3. Step 3: Cross multiply
    5,825.30x = 8,738.30 × 1,664.99
  4. Step 4: Simplify right side
    5,825.30x = 14,549,173.79
  5. Step 5: Solve for x
    x = 14,549,173.79/5,825.30
  6. Step 6: Final answer
    x = 2,497.58

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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.