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Finding the Fourth Proportional to 13,940.76, 19,238.64 and 7,653.54

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Solution

The fourth proportional to 13,940.76, 19,238.64 and 7,653.54 is: 10,562.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940.76 : 19,238.64 = 7,653.54 : x
  2. Step 2: Convert to fraction form
    13,940.76/19,238.64 = 7,653.54/x
  3. Step 3: Cross multiply
    13,940.76x = 19,238.64 × 7,653.54
  4. Step 4: Simplify right side
    13,940.76x = 147,243,700.79
  5. Step 5: Solve for x
    x = 147,243,700.79/13,940.76
  6. Step 6: Final answer
    x = 10,562.10

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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.