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Finding the Fourth Proportional to 6,102.80, 9,139.80 and 4,144.40

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Solution

The fourth proportional to 6,102.80, 9,139.80 and 4,144.40 is: 6,206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.80 : 9,139.80 = 4,144.40 : x
  2. Step 2: Convert to fraction form
    6,102.80/9,139.80 = 4,144.40/x
  3. Step 3: Cross multiply
    6,102.80x = 9,139.80 × 4,144.40
  4. Step 4: Simplify right side
    6,102.80x = 37,878,987.12
  5. Step 5: Solve for x
    x = 37,878,987.12/6,102.80
  6. Step 6: Final answer
    x = 6,206.82

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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.