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Finding the Fourth Proportional to 13,692.48, 18,895.60 and 7,724.13

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Solution

The fourth proportional to 13,692.48, 18,895.60 and 7,724.13 is: 10,659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.48 : 18,895.60 = 7,724.13 : x
  2. Step 2: Convert to fraction form
    13,692.48/18,895.60 = 7,724.13/x
  3. Step 3: Cross multiply
    13,692.48x = 18,895.60 × 7,724.13
  4. Step 4: Simplify right side
    13,692.48x = 145,952,070.83
  5. Step 5: Solve for x
    x = 145,952,070.83/13,692.48
  6. Step 6: Final answer
    x = 10,659.29

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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.