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Finding the Fourth Proportional to 6,584.07, 9,874.73 and 2,423

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Solution

The fourth proportional to 6,584.07, 9,874.73 and 2,423 is: 3,633.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.07 : 9,874.73 = 2,423 : x
  2. Step 2: Convert to fraction form
    6,584.07/9,874.73 = 2,423/x
  3. Step 3: Cross multiply
    6,584.07x = 9,874.73 × 2,423
  4. Step 4: Simplify right side
    6,584.07x = 23,926,470.79
  5. Step 5: Solve for x
    x = 23,926,470.79/6,584.07
  6. Step 6: Final answer
    x = 3,633.99

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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.