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Finding the Fourth Proportional to 14,059.14, 19,401 and 7,771.38

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Solution

The fourth proportional to 14,059.14, 19,401 and 7,771.38 is: 10,724.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,059.14 : 19,401 = 7,771.38 : x
  2. Step 2: Convert to fraction form
    14,059.14/19,401 = 7,771.38/x
  3. Step 3: Cross multiply
    14,059.14x = 19,401 × 7,771.38
  4. Step 4: Simplify right side
    14,059.14x = 150,772,543.38
  5. Step 5: Solve for x
    x = 150,772,543.38/14,059.14
  6. Step 6: Final answer
    x = 10,724.17

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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.