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Finding the Fourth Proportional to 13,000.14, 17,940.17 and 7,334.87

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Solution

The fourth proportional to 13,000.14, 17,940.17 and 7,334.87 is: 10,122.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.14 : 17,940.17 = 7,334.87 : x
  2. Step 2: Convert to fraction form
    13,000.14/17,940.17 = 7,334.87/x
  3. Step 3: Cross multiply
    13,000.14x = 17,940.17 × 7,334.87
  4. Step 4: Simplify right side
    13,000.14x = 131,588,688.35
  5. Step 5: Solve for x
    x = 131,588,688.35/13,000.14
  6. Step 6: Final answer
    x = 10,122.10

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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.