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Finding the Fourth Proportional to 14,048.49, 19,385.26 and 7,760.49

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Solution

The fourth proportional to 14,048.49, 19,385.26 and 7,760.49 is: 10,708.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,048.49 : 19,385.26 = 7,760.49 : x
  2. Step 2: Convert to fraction form
    14,048.49/19,385.26 = 7,760.49/x
  3. Step 3: Cross multiply
    14,048.49x = 19,385.26 × 7,760.49
  4. Step 4: Simplify right side
    14,048.49x = 150,439,116.38
  5. Step 5: Solve for x
    x = 150,439,116.38/14,048.49
  6. Step 6: Final answer
    x = 10,708.56

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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.