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Finding the Fourth Proportional to 13,428.90, 20,147.40 and 7,191.90

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Solution

The fourth proportional to 13,428.90, 20,147.40 and 7,191.90 is: 10,790.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.90 : 20,147.40 = 7,191.90 : x
  2. Step 2: Convert to fraction form
    13,428.90/20,147.40 = 7,191.90/x
  3. Step 3: Cross multiply
    13,428.90x = 20,147.40 × 7,191.90
  4. Step 4: Simplify right side
    13,428.90x = 144,898,086.06
  5. Step 5: Solve for x
    x = 144,898,086.06/13,428.90
  6. Step 6: Final answer
    x = 10,790.02

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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.