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Finding the Fourth Proportional to 13,648.87, 20,473.71 and 3,788.88

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Solution

The fourth proportional to 13,648.87, 20,473.71 and 3,788.88 is: 5,683.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.87 : 20,473.71 = 3,788.88 : x
  2. Step 2: Convert to fraction form
    13,648.87/20,473.71 = 3,788.88/x
  3. Step 3: Cross multiply
    13,648.87x = 20,473.71 × 3,788.88
  4. Step 4: Simplify right side
    13,648.87x = 77,572,430.34
  5. Step 5: Solve for x
    x = 77,572,430.34/13,648.87
  6. Step 6: Final answer
    x = 5,683.43

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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.