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Finding the Fourth Proportional to 12,448.94, 17,193.36 and 8,463.14

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Solution

The fourth proportional to 12,448.94, 17,193.36 and 8,463.14 is: 11,688.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,448.94 : 17,193.36 = 8,463.14 : x
  2. Step 2: Convert to fraction form
    12,448.94/17,193.36 = 8,463.14/x
  3. Step 3: Cross multiply
    12,448.94x = 17,193.36 × 8,463.14
  4. Step 4: Simplify right side
    12,448.94x = 145,509,812.75
  5. Step 5: Solve for x
    x = 145,509,812.75/12,448.94
  6. Step 6: Final answer
    x = 11,688.53

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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.