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Finding the Fourth Proportional to 13,765.50, 18,996.39 and 7,478.01

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Solution

The fourth proportional to 13,765.50, 18,996.39 and 7,478.01 is: 10,319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.50 : 18,996.39 = 7,478.01 : x
  2. Step 2: Convert to fraction form
    13,765.50/18,996.39 = 7,478.01/x
  3. Step 3: Cross multiply
    13,765.50x = 18,996.39 × 7,478.01
  4. Step 4: Simplify right side
    13,765.50x = 142,055,194.38
  5. Step 5: Solve for x
    x = 142,055,194.38/13,765.50
  6. Step 6: Final answer
    x = 10,319.65

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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.