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Finding the Fourth Proportional to 14,757.90, 20,370.18 and 9,654.16

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Solution

The fourth proportional to 14,757.90, 20,370.18 and 9,654.16 is: 13,325.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,757.90 : 20,370.18 = 9,654.16 : x
  2. Step 2: Convert to fraction form
    14,757.90/20,370.18 = 9,654.16/x
  3. Step 3: Cross multiply
    14,757.90x = 20,370.18 × 9,654.16
  4. Step 4: Simplify right side
    14,757.90x = 196,656,976.95
  5. Step 5: Solve for x
    x = 196,656,976.95/14,757.90
  6. Step 6: Final answer
    x = 13,325.54

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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.