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Finding the Fourth Proportional to 13,653.10, 20,475.90 and 8,647.97

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Solution

The fourth proportional to 13,653.10, 20,475.90 and 8,647.97 is: 12,969.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.10 : 20,475.90 = 8,647.97 : x
  2. Step 2: Convert to fraction form
    13,653.10/20,475.90 = 8,647.97/x
  3. Step 3: Cross multiply
    13,653.10x = 20,475.90 × 8,647.97
  4. Step 4: Simplify right side
    13,653.10x = 177,074,968.92
  5. Step 5: Solve for x
    x = 177,074,968.92/13,653.10
  6. Step 6: Final answer
    x = 12,969.58

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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.