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Finding the Fourth Proportional to 12,849.28, 17,726.72 and 7,812.16

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Solution

The fourth proportional to 12,849.28, 17,726.72 and 7,812.16 is: 10,777.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,849.28 : 17,726.72 = 7,812.16 : x
  2. Step 2: Convert to fraction form
    12,849.28/17,726.72 = 7,812.16/x
  3. Step 3: Cross multiply
    12,849.28x = 17,726.72 × 7,812.16
  4. Step 4: Simplify right side
    12,849.28x = 138,483,972.92
  5. Step 5: Solve for x
    x = 138,483,972.92/12,849.28
  6. Step 6: Final answer
    x = 10,777.57

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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.