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Finding the Fourth Proportional to 14,109.42, 19,469.95 and 7,734.99

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Solution

The fourth proportional to 14,109.42, 19,469.95 and 7,734.99 is: 10,673.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,109.42 : 19,469.95 = 7,734.99 : x
  2. Step 2: Convert to fraction form
    14,109.42/19,469.95 = 7,734.99/x
  3. Step 3: Cross multiply
    14,109.42x = 19,469.95 × 7,734.99
  4. Step 4: Simplify right side
    14,109.42x = 150,599,868.55
  5. Step 5: Solve for x
    x = 150,599,868.55/14,109.42
  6. Step 6: Final answer
    x = 10,673.71

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Half scale
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Double scale
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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.