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Finding the Fourth Proportional to 13,874.72, 19,145.20 and 7,905.24

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Solution

The fourth proportional to 13,874.72, 19,145.20 and 7,905.24 is: 10,908.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.72 : 19,145.20 = 7,905.24 : x
  2. Step 2: Convert to fraction form
    13,874.72/19,145.20 = 7,905.24/x
  3. Step 3: Cross multiply
    13,874.72x = 19,145.20 × 7,905.24
  4. Step 4: Simplify right side
    13,874.72x = 151,347,400.85
  5. Step 5: Solve for x
    x = 151,347,400.85/13,874.72
  6. Step 6: Final answer
    x = 10,908.14

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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.