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Finding the Fourth Proportional to 14,002.73, 19,324.19 and 7,629.74

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Solution

The fourth proportional to 14,002.73, 19,324.19 and 7,629.74 is: 10,529.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.73 : 19,324.19 = 7,629.74 : x
  2. Step 2: Convert to fraction form
    14,002.73/19,324.19 = 7,629.74/x
  3. Step 3: Cross multiply
    14,002.73x = 19,324.19 × 7,629.74
  4. Step 4: Simplify right side
    14,002.73x = 147,438,612.80
  5. Step 5: Solve for x
    x = 147,438,612.80/14,002.73
  6. Step 6: Final answer
    x = 10,529.27

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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.