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Finding the Fourth Proportional to 8,735.26, 12,017.91 and 7,226.14

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Solution

The fourth proportional to 8,735.26, 12,017.91 and 7,226.14 is: 9,941.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.26 : 12,017.91 = 7,226.14 : x
  2. Step 2: Convert to fraction form
    8,735.26/12,017.91 = 7,226.14/x
  3. Step 3: Cross multiply
    8,735.26x = 12,017.91 × 7,226.14
  4. Step 4: Simplify right side
    8,735.26x = 86,843,100.17
  5. Step 5: Solve for x
    x = 86,843,100.17/8,735.26
  6. Step 6: Final answer
    x = 9,941.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.