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Finding the Fourth Proportional to 13,913.80, 19,200.94 and 7,626.20

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Solution

The fourth proportional to 13,913.80, 19,200.94 and 7,626.20 is: 10,524.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.80 : 19,200.94 = 7,626.20 : x
  2. Step 2: Convert to fraction form
    13,913.80/19,200.94 = 7,626.20/x
  3. Step 3: Cross multiply
    13,913.80x = 19,200.94 × 7,626.20
  4. Step 4: Simplify right side
    13,913.80x = 146,430,208.63
  5. Step 5: Solve for x
    x = 146,430,208.63/13,913.80
  6. Step 6: Final answer
    x = 10,524.10

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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.