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Finding the Fourth Proportional to 13,812.84, 19,061.74 and 7,844.51

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Solution

The fourth proportional to 13,812.84, 19,061.74 and 7,844.51 is: 10,825.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.84 : 19,061.74 = 7,844.51 : x
  2. Step 2: Convert to fraction form
    13,812.84/19,061.74 = 7,844.51/x
  3. Step 3: Cross multiply
    13,812.84x = 19,061.74 × 7,844.51
  4. Step 4: Simplify right side
    13,812.84x = 149,529,960.29
  5. Step 5: Solve for x
    x = 149,529,960.29/13,812.84
  6. Step 6: Final answer
    x = 10,825.43

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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.