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Finding the Fourth Proportional to 13,973.94, 20,971.44 and 7,401.60

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Solution

The fourth proportional to 13,973.94, 20,971.44 and 7,401.60 is: 11,107.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,973.94 : 20,971.44 = 7,401.60 : x
  2. Step 2: Convert to fraction form
    13,973.94/20,971.44 = 7,401.60/x
  3. Step 3: Cross multiply
    13,973.94x = 20,971.44 × 7,401.60
  4. Step 4: Simplify right side
    13,973.94x = 155,222,210.30
  5. Step 5: Solve for x
    x = 155,222,210.30/13,973.94
  6. Step 6: Final answer
    x = 11,107.98

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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.