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Finding the Fourth Proportional to 13,000.50, 17,943.93 and 7,414.74

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Solution

The fourth proportional to 13,000.50, 17,943.93 and 7,414.74 is: 10,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.50 : 17,943.93 = 7,414.74 : x
  2. Step 2: Convert to fraction form
    13,000.50/17,943.93 = 7,414.74/x
  3. Step 3: Cross multiply
    13,000.50x = 17,943.93 × 7,414.74
  4. Step 4: Simplify right side
    13,000.50x = 133,049,575.53
  5. Step 5: Solve for x
    x = 133,049,575.53/13,000.50
  6. Step 6: Final answer
    x = 10,234.19

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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.