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Finding the Fourth Proportional to 9,745.92, 14,651.28 and 7,555.68

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Solution

The fourth proportional to 9,745.92, 14,651.28 and 7,555.68 is: 11,358.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.92 : 14,651.28 = 7,555.68 : x
  2. Step 2: Convert to fraction form
    9,745.92/14,651.28 = 7,555.68/x
  3. Step 3: Cross multiply
    9,745.92x = 14,651.28 × 7,555.68
  4. Step 4: Simplify right side
    9,745.92x = 110,700,383.27
  5. Step 5: Solve for x
    x = 110,700,383.27/9,745.92
  6. Step 6: Final answer
    x = 11,358.64

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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.