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Finding the Fourth Proportional to 14,035.62, 19,369.10 and 7,747.95

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Solution

The fourth proportional to 14,035.62, 19,369.10 and 7,747.95 is: 10,692.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,035.62 : 19,369.10 = 7,747.95 : x
  2. Step 2: Convert to fraction form
    14,035.62/19,369.10 = 7,747.95/x
  3. Step 3: Cross multiply
    14,035.62x = 19,369.10 × 7,747.95
  4. Step 4: Simplify right side
    14,035.62x = 150,070,740.87
  5. Step 5: Solve for x
    x = 150,070,740.87/14,035.62
  6. Step 6: Final answer
    x = 10,692.14

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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.