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Finding the Fourth Proportional to 13,692.57, 18,895.70 and 7,404.95

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Solution

The fourth proportional to 13,692.57, 18,895.70 and 7,404.95 is: 10,218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.57 : 18,895.70 = 7,404.95 : x
  2. Step 2: Convert to fraction form
    13,692.57/18,895.70 = 7,404.95/x
  3. Step 3: Cross multiply
    13,692.57x = 18,895.70 × 7,404.95
  4. Step 4: Simplify right side
    13,692.57x = 139,921,582.21
  5. Step 5: Solve for x
    x = 139,921,582.21/13,692.57
  6. Step 6: Final answer
    x = 10,218.80

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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.