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Finding the Fourth Proportional to 6,074.40, 9,092.40 and 4,768.80

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Solution

The fourth proportional to 6,074.40, 9,092.40 and 4,768.80 is: 7,138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.40 : 9,092.40 = 4,768.80 : x
  2. Step 2: Convert to fraction form
    6,074.40/9,092.40 = 4,768.80/x
  3. Step 3: Cross multiply
    6,074.40x = 9,092.40 × 4,768.80
  4. Step 4: Simplify right side
    6,074.40x = 43,359,837.12
  5. Step 5: Solve for x
    x = 43,359,837.12/6,074.40
  6. Step 6: Final answer
    x = 7,138.13

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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.