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Finding the Fourth Proportional to 13,804.68, 20,692.68 and 6,403.04

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Solution

The fourth proportional to 13,804.68, 20,692.68 and 6,403.04 is: 9,597.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.68 : 20,692.68 = 6,403.04 : x
  2. Step 2: Convert to fraction form
    13,804.68/20,692.68 = 6,403.04/x
  3. Step 3: Cross multiply
    13,804.68x = 20,692.68 × 6,403.04
  4. Step 4: Simplify right side
    13,804.68x = 132,496,057.75
  5. Step 5: Solve for x
    x = 132,496,057.75/13,804.68
  6. Step 6: Final answer
    x = 9,597.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.