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Finding the Fourth Proportional to 13,859, 19,125.54 and 7,571.38

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Solution

The fourth proportional to 13,859, 19,125.54 and 7,571.38 is: 10,448.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,859 : 19,125.54 = 7,571.38 : x
  2. Step 2: Convert to fraction form
    13,859/19,125.54 = 7,571.38/x
  3. Step 3: Cross multiply
    13,859x = 19,125.54 × 7,571.38
  4. Step 4: Simplify right side
    13,859x = 144,806,731.05
  5. Step 5: Solve for x
    x = 144,806,731.05/13,859
  6. Step 6: Final answer
    x = 10,448.57

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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.