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Finding the Fourth Proportional to 12,824.26, 17,697.50 and 7,235.26

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Solution

The fourth proportional to 12,824.26, 17,697.50 and 7,235.26 is: 9,984.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824.26 : 17,697.50 = 7,235.26 : x
  2. Step 2: Convert to fraction form
    12,824.26/17,697.50 = 7,235.26/x
  3. Step 3: Cross multiply
    12,824.26x = 17,697.50 × 7,235.26
  4. Step 4: Simplify right side
    12,824.26x = 128,046,013.85
  5. Step 5: Solve for x
    x = 128,046,013.85/12,824.26
  6. Step 6: Final answer
    x = 9,984.67

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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.