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Finding the Fourth Proportional to 12,782.94, 17,642.12 and 7,334.14

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Solution

The fourth proportional to 12,782.94, 17,642.12 and 7,334.14 is: 10,122.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.94 : 17,642.12 = 7,334.14 : x
  2. Step 2: Convert to fraction form
    12,782.94/17,642.12 = 7,334.14/x
  3. Step 3: Cross multiply
    12,782.94x = 17,642.12 × 7,334.14
  4. Step 4: Simplify right side
    12,782.94x = 129,389,777.98
  5. Step 5: Solve for x
    x = 129,389,777.98/12,782.94
  6. Step 6: Final answer
    x = 10,122.07

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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.