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Finding the Fourth Proportional to 14,048.24, 19,384.92 and 7,760.24

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Solution

The fourth proportional to 14,048.24, 19,384.92 and 7,760.24 is: 10,708.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,048.24 : 19,384.92 = 7,760.24 : x
  2. Step 2: Convert to fraction form
    14,048.24/19,384.92 = 7,760.24/x
  3. Step 3: Cross multiply
    14,048.24x = 19,384.92 × 7,760.24
  4. Step 4: Simplify right side
    14,048.24x = 150,431,631.58
  5. Step 5: Solve for x
    x = 150,431,631.58/14,048.24
  6. Step 6: Final answer
    x = 10,708.22

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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.