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Finding the Fourth Proportional to 13,824.76, 19,078.14 and 7,537.12

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Solution

The fourth proportional to 13,824.76, 19,078.14 and 7,537.12 is: 10,401.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.76 : 19,078.14 = 7,537.12 : x
  2. Step 2: Convert to fraction form
    13,824.76/19,078.14 = 7,537.12/x
  3. Step 3: Cross multiply
    13,824.76x = 19,078.14 × 7,537.12
  4. Step 4: Simplify right side
    13,824.76x = 143,794,230.56
  5. Step 5: Solve for x
    x = 143,794,230.56/13,824.76
  6. Step 6: Final answer
    x = 10,401.21

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Double scale
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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.