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Finding the Fourth Proportional to 13,793.96, 19,035.30 and 7,506.20

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Solution

The fourth proportional to 13,793.96, 19,035.30 and 7,506.20 is: 10,358.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.96 : 19,035.30 = 7,506.20 : x
  2. Step 2: Convert to fraction form
    13,793.96/19,035.30 = 7,506.20/x
  3. Step 3: Cross multiply
    13,793.96x = 19,035.30 × 7,506.20
  4. Step 4: Simplify right side
    13,793.96x = 142,882,768.86
  5. Step 5: Solve for x
    x = 142,882,768.86/13,793.96
  6. Step 6: Final answer
    x = 10,358.36

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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.