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Finding the Fourth Proportional to 27,703.35, 41,562.45 and 7,983.63

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Solution

The fourth proportional to 27,703.35, 41,562.45 and 7,983.63 is: 11,977.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,703.35 : 41,562.45 = 7,983.63 : x
  2. Step 2: Convert to fraction form
    27,703.35/41,562.45 = 7,983.63/x
  3. Step 3: Cross multiply
    27,703.35x = 41,562.45 × 7,983.63
  4. Step 4: Simplify right side
    27,703.35x = 331,819,222.69
  5. Step 5: Solve for x
    x = 331,819,222.69/27,703.35
  6. Step 6: Final answer
    x = 11,977.58

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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.