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Finding the Fourth Proportional to 9,717.94, 14,578.98 and 3,874.24

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Solution

The fourth proportional to 9,717.94, 14,578.98 and 3,874.24 is: 5,812.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.94 : 14,578.98 = 3,874.24 : x
  2. Step 2: Convert to fraction form
    9,717.94/14,578.98 = 3,874.24/x
  3. Step 3: Cross multiply
    9,717.94x = 14,578.98 × 3,874.24
  4. Step 4: Simplify right side
    9,717.94x = 56,482,467.48
  5. Step 5: Solve for x
    x = 56,482,467.48/9,717.94
  6. Step 6: Final answer
    x = 5,812.19

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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.