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Finding the Fourth Proportional to 13,758.56, 20,645.76 and 5,968.16

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Solution

The fourth proportional to 13,758.56, 20,645.76 and 5,968.16 is: 8,955.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.56 : 20,645.76 = 5,968.16 : x
  2. Step 2: Convert to fraction form
    13,758.56/20,645.76 = 5,968.16/x
  3. Step 3: Cross multiply
    13,758.56x = 20,645.76 × 5,968.16
  4. Step 4: Simplify right side
    13,758.56x = 123,217,199.00
  5. Step 5: Solve for x
    x = 123,217,199.00/13,758.56
  6. Step 6: Final answer
    x = 8,955.68

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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.