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Finding the Fourth Proportional to 8,896.24, 12,276.50 and 4,917.12

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Solution

The fourth proportional to 8,896.24, 12,276.50 and 4,917.12 is: 6,785.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896.24 : 12,276.50 = 4,917.12 : x
  2. Step 2: Convert to fraction form
    8,896.24/12,276.50 = 4,917.12/x
  3. Step 3: Cross multiply
    8,896.24x = 12,276.50 × 4,917.12
  4. Step 4: Simplify right side
    8,896.24x = 60,365,023.68
  5. Step 5: Solve for x
    x = 60,365,023.68/8,896.24
  6. Step 6: Final answer
    x = 6,785.45

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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.