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Finding the Fourth Proportional to 8,051.63, 11,105.63 and 7,780.68

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Solution

The fourth proportional to 8,051.63, 11,105.63 and 7,780.68 is: 10,731.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.63 : 11,105.63 = 7,780.68 : x
  2. Step 2: Convert to fraction form
    8,051.63/11,105.63 = 7,780.68/x
  3. Step 3: Cross multiply
    8,051.63x = 11,105.63 × 7,780.68
  4. Step 4: Simplify right side
    8,051.63x = 86,409,363.27
  5. Step 5: Solve for x
    x = 86,409,363.27/8,051.63
  6. Step 6: Final answer
    x = 10,731.91

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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.