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Finding the Fourth Proportional to 13,643.49, 18,828.12 and 7,675.11

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Solution

The fourth proportional to 13,643.49, 18,828.12 and 7,675.11 is: 10,591.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.49 : 18,828.12 = 7,675.11 : x
  2. Step 2: Convert to fraction form
    13,643.49/18,828.12 = 7,675.11/x
  3. Step 3: Cross multiply
    13,643.49x = 18,828.12 × 7,675.11
  4. Step 4: Simplify right side
    13,643.49x = 144,507,892.09
  5. Step 5: Solve for x
    x = 144,507,892.09/13,643.49
  6. Step 6: Final answer
    x = 10,591.71

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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.