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Finding the Fourth Proportional to 13,750.74, 18,976.24 and 7,463.12

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Solution

The fourth proportional to 13,750.74, 18,976.24 and 7,463.12 is: 10,299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,750.74 : 18,976.24 = 7,463.12 : x
  2. Step 2: Convert to fraction form
    13,750.74/18,976.24 = 7,463.12/x
  3. Step 3: Cross multiply
    13,750.74x = 18,976.24 × 7,463.12
  4. Step 4: Simplify right side
    13,750.74x = 141,621,870.72
  5. Step 5: Solve for x
    x = 141,621,870.72/13,750.74
  6. Step 6: Final answer
    x = 10,299.22

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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.