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Finding the Fourth Proportional to 9,717.26, 14,583.09 and 7,224.21

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Solution

The fourth proportional to 9,717.26, 14,583.09 and 7,224.21 is: 10,841.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.26 : 14,583.09 = 7,224.21 : x
  2. Step 2: Convert to fraction form
    9,717.26/14,583.09 = 7,224.21/x
  3. Step 3: Cross multiply
    9,717.26x = 14,583.09 × 7,224.21
  4. Step 4: Simplify right side
    9,717.26x = 105,351,291.06
  5. Step 5: Solve for x
    x = 105,351,291.06/9,717.26
  6. Step 6: Final answer
    x = 10,841.67

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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.