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Finding the Fourth Proportional to 17,211.84, 25,821 and 5,524.08

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Solution

The fourth proportional to 17,211.84, 25,821 and 5,524.08 is: 8,287.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,211.84 : 25,821 = 5,524.08 : x
  2. Step 2: Convert to fraction form
    17,211.84/25,821 = 5,524.08/x
  3. Step 3: Cross multiply
    17,211.84x = 25,821 × 5,524.08
  4. Step 4: Simplify right side
    17,211.84x = 142,637,269.68
  5. Step 5: Solve for x
    x = 142,637,269.68/17,211.84
  6. Step 6: Final answer
    x = 8,287.16

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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.