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Finding the Fourth Proportional to 8,005.76, 11,047.89 and 4,650.54

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Solution

The fourth proportional to 8,005.76, 11,047.89 and 4,650.54 is: 6,417.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.76 : 11,047.89 = 4,650.54 : x
  2. Step 2: Convert to fraction form
    8,005.76/11,047.89 = 4,650.54/x
  3. Step 3: Cross multiply
    8,005.76x = 11,047.89 × 4,650.54
  4. Step 4: Simplify right side
    8,005.76x = 51,378,654.36
  5. Step 5: Solve for x
    x = 51,378,654.36/8,005.76
  6. Step 6: Final answer
    x = 6,417.71

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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.