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Finding the Fourth Proportional to 15,833.88, 23,751.09 and 5,977.80

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Solution

The fourth proportional to 15,833.88, 23,751.09 and 5,977.80 is: 8,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833.88 : 23,751.09 = 5,977.80 : x
  2. Step 2: Convert to fraction form
    15,833.88/23,751.09 = 5,977.80/x
  3. Step 3: Cross multiply
    15,833.88x = 23,751.09 × 5,977.80
  4. Step 4: Simplify right side
    15,833.88x = 141,979,265.80
  5. Step 5: Solve for x
    x = 141,979,265.80/15,833.88
  6. Step 6: Final answer
    x = 8,966.80

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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.