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Finding the Fourth Proportional to 13,430.88, 18,532.44 and 7,462.44

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Solution

The fourth proportional to 13,430.88, 18,532.44 and 7,462.44 is: 10,296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.88 : 18,532.44 = 7,462.44 : x
  2. Step 2: Convert to fraction form
    13,430.88/18,532.44 = 7,462.44/x
  3. Step 3: Cross multiply
    13,430.88x = 18,532.44 × 7,462.44
  4. Step 4: Simplify right side
    13,430.88x = 138,297,221.55
  5. Step 5: Solve for x
    x = 138,297,221.55/13,430.88
  6. Step 6: Final answer
    x = 10,296.96

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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.