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Finding the Fourth Proportional to 19,825.92, 29,741.64 and 7,174.72

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Solution

The fourth proportional to 19,825.92, 29,741.64 and 7,174.72 is: 10,763.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825.92 : 29,741.64 = 7,174.72 : x
  2. Step 2: Convert to fraction form
    19,825.92/29,741.64 = 7,174.72/x
  3. Step 3: Cross multiply
    19,825.92x = 29,741.64 × 7,174.72
  4. Step 4: Simplify right side
    19,825.92x = 213,387,939.34
  5. Step 5: Solve for x
    x = 213,387,939.34/19,825.92
  6. Step 6: Final answer
    x = 10,763.08

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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.