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Finding the Fourth Proportional to 13,126.56, 18,113.94 and 7,537.56

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Solution

The fourth proportional to 13,126.56, 18,113.94 and 7,537.56 is: 10,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,126.56 : 18,113.94 = 7,537.56 : x
  2. Step 2: Convert to fraction form
    13,126.56/18,113.94 = 7,537.56/x
  3. Step 3: Cross multiply
    13,126.56x = 18,113.94 × 7,537.56
  4. Step 4: Simplify right side
    13,126.56x = 136,534,909.59
  5. Step 5: Solve for x
    x = 136,534,909.59/13,126.56
  6. Step 6: Final answer
    x = 10,401.42

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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.