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Finding the Fourth Proportional to 13,695.48, 20,541.20 and 3,834.14

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Solution

The fourth proportional to 13,695.48, 20,541.20 and 3,834.14 is: 5,750.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,695.48 : 20,541.20 = 3,834.14 : x
  2. Step 2: Convert to fraction form
    13,695.48/20,541.20 = 3,834.14/x
  3. Step 3: Cross multiply
    13,695.48x = 20,541.20 × 3,834.14
  4. Step 4: Simplify right side
    13,695.48x = 78,757,714.69
  5. Step 5: Solve for x
    x = 78,757,714.69/13,695.48
  6. Step 6: Final answer
    x = 5,750.64

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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.