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Finding the Fourth Proportional to 13,771.78, 19,007.13 and 7,803.70

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Solution

The fourth proportional to 13,771.78, 19,007.13 and 7,803.70 is: 10,770.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.78 : 19,007.13 = 7,803.70 : x
  2. Step 2: Convert to fraction form
    13,771.78/19,007.13 = 7,803.70/x
  3. Step 3: Cross multiply
    13,771.78x = 19,007.13 × 7,803.70
  4. Step 4: Simplify right side
    13,771.78x = 148,325,940.38
  5. Step 5: Solve for x
    x = 148,325,940.38/13,771.78
  6. Step 6: Final answer
    x = 10,770.28

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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.