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Finding the Fourth Proportional to 14,059.03, 19,400.70 and 7,771

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Solution

The fourth proportional to 14,059.03, 19,400.70 and 7,771 is: 10,723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,059.03 : 19,400.70 = 7,771 : x
  2. Step 2: Convert to fraction form
    14,059.03/19,400.70 = 7,771/x
  3. Step 3: Cross multiply
    14,059.03x = 19,400.70 × 7,771
  4. Step 4: Simplify right side
    14,059.03x = 150,762,839.70
  5. Step 5: Solve for x
    x = 150,762,839.70/14,059.03
  6. Step 6: Final answer
    x = 10,723.56

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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.