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Finding the Fourth Proportional to 13,907.39, 20,824.62 and 9,533.39

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Solution

The fourth proportional to 13,907.39, 20,824.62 and 9,533.39 is: 14,275.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.39 : 20,824.62 = 9,533.39 : x
  2. Step 2: Convert to fraction form
    13,907.39/20,824.62 = 9,533.39/x
  3. Step 3: Cross multiply
    13,907.39x = 20,824.62 × 9,533.39
  4. Step 4: Simplify right side
    13,907.39x = 198,529,119.94
  5. Step 5: Solve for x
    x = 198,529,119.94/13,907.39
  6. Step 6: Final answer
    x = 14,275.09

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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.