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Finding the Fourth Proportional to 13,584, 18,745.65 and 7,616.19

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Solution

The fourth proportional to 13,584, 18,745.65 and 7,616.19 is: 10,510.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584 : 18,745.65 = 7,616.19 : x
  2. Step 2: Convert to fraction form
    13,584/18,745.65 = 7,616.19/x
  3. Step 3: Cross multiply
    13,584x = 18,745.65 × 7,616.19
  4. Step 4: Simplify right side
    13,584x = 142,770,432.07
  5. Step 5: Solve for x
    x = 142,770,432.07/13,584
  6. Step 6: Final answer
    x = 10,510.19

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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.