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Finding the Fourth Proportional to 11,421.80, 15,759.78 and 7,879.40

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Solution

The fourth proportional to 11,421.80, 15,759.78 and 7,879.40 is: 10,871.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,421.80 : 15,759.78 = 7,879.40 : x
  2. Step 2: Convert to fraction form
    11,421.80/15,759.78 = 7,879.40/x
  3. Step 3: Cross multiply
    11,421.80x = 15,759.78 × 7,879.40
  4. Step 4: Simplify right side
    11,421.80x = 124,177,610.53
  5. Step 5: Solve for x
    x = 124,177,610.53/11,421.80
  6. Step 6: Final answer
    x = 10,871.98

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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.