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Finding the Fourth Proportional to 14,122.94, 19,491.99 and 7,837.34

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Solution

The fourth proportional to 14,122.94, 19,491.99 and 7,837.34 is: 10,816.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122.94 : 19,491.99 = 7,837.34 : x
  2. Step 2: Convert to fraction form
    14,122.94/19,491.99 = 7,837.34/x
  3. Step 3: Cross multiply
    14,122.94x = 19,491.99 × 7,837.34
  4. Step 4: Simplify right side
    14,122.94x = 152,765,352.91
  5. Step 5: Solve for x
    x = 152,765,352.91/14,122.94
  6. Step 6: Final answer
    x = 10,816.82

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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.