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Finding the Fourth Proportional to 19,696.15, 29,548.48 and 9,158.46

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Solution

The fourth proportional to 19,696.15, 29,548.48 and 9,158.46 is: 13,739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,696.15 : 29,548.48 = 9,158.46 : x
  2. Step 2: Convert to fraction form
    19,696.15/29,548.48 = 9,158.46/x
  3. Step 3: Cross multiply
    19,696.15x = 29,548.48 × 9,158.46
  4. Step 4: Simplify right side
    19,696.15x = 270,618,572.14
  5. Step 5: Solve for x
    x = 270,618,572.14/19,696.15
  6. Step 6: Final answer
    x = 13,739.67

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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.