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Finding the Fourth Proportional to 11,092.80, 16,658.40 and 7,828.80

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Solution

The fourth proportional to 11,092.80, 16,658.40 and 7,828.80 is: 11,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,092.80 : 16,658.40 = 7,828.80 : x
  2. Step 2: Convert to fraction form
    11,092.80/16,658.40 = 7,828.80/x
  3. Step 3: Cross multiply
    11,092.80x = 16,658.40 × 7,828.80
  4. Step 4: Simplify right side
    11,092.80x = 130,415,281.92
  5. Step 5: Solve for x
    x = 130,415,281.92/11,092.80
  6. Step 6: Final answer
    x = 11,756.75

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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.