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Finding the Fourth Proportional to 13,692.50, 18,896.32 and 7,724.04

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Solution

The fourth proportional to 13,692.50, 18,896.32 and 7,724.04 is: 10,659.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.50 : 18,896.32 = 7,724.04 : x
  2. Step 2: Convert to fraction form
    13,692.50/18,896.32 = 7,724.04/x
  3. Step 3: Cross multiply
    13,692.50x = 18,896.32 × 7,724.04
  4. Step 4: Simplify right side
    13,692.50x = 145,955,931.53
  5. Step 5: Solve for x
    x = 145,955,931.53/13,692.50
  6. Step 6: Final answer
    x = 10,659.55

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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.