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Finding the Fourth Proportional to 7,852.66, 11,780.34 and 2,588.92

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Solution

The fourth proportional to 7,852.66, 11,780.34 and 2,588.92 is: 3,883.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.66 : 11,780.34 = 2,588.92 : x
  2. Step 2: Convert to fraction form
    7,852.66/11,780.34 = 2,588.92/x
  3. Step 3: Cross multiply
    7,852.66x = 11,780.34 × 2,588.92
  4. Step 4: Simplify right side
    7,852.66x = 30,498,357.83
  5. Step 5: Solve for x
    x = 30,498,357.83/7,852.66
  6. Step 6: Final answer
    x = 3,883.83

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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.