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Finding the Fourth Proportional to 9,896.76, 14,847.66 and 7,295.24

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Solution

The fourth proportional to 9,896.76, 14,847.66 and 7,295.24 is: 10,944.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.76 : 14,847.66 = 7,295.24 : x
  2. Step 2: Convert to fraction form
    9,896.76/14,847.66 = 7,295.24/x
  3. Step 3: Cross multiply
    9,896.76x = 14,847.66 × 7,295.24
  4. Step 4: Simplify right side
    9,896.76x = 108,317,243.14
  5. Step 5: Solve for x
    x = 108,317,243.14/9,896.76
  6. Step 6: Final answer
    x = 10,944.72

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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.