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Finding the Fourth Proportional to 5,174.84, 7,762.11 and 1,664.84

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Solution

The fourth proportional to 5,174.84, 7,762.11 and 1,664.84 is: 2,497.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.84 : 7,762.11 = 1,664.84 : x
  2. Step 2: Convert to fraction form
    5,174.84/7,762.11 = 1,664.84/x
  3. Step 3: Cross multiply
    5,174.84x = 7,762.11 × 1,664.84
  4. Step 4: Simplify right side
    5,174.84x = 12,922,632.40
  5. Step 5: Solve for x
    x = 12,922,632.40/5,174.84
  6. Step 6: Final answer
    x = 2,497.21

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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.