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Finding the Fourth Proportional to 6,700.39, 9,245.13 and 4,047.28

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Solution

The fourth proportional to 6,700.39, 9,245.13 and 4,047.28 is: 5,584.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.39 : 9,245.13 = 4,047.28 : x
  2. Step 2: Convert to fraction form
    6,700.39/9,245.13 = 4,047.28/x
  3. Step 3: Cross multiply
    6,700.39x = 9,245.13 × 4,047.28
  4. Step 4: Simplify right side
    6,700.39x = 37,417,629.75
  5. Step 5: Solve for x
    x = 37,417,629.75/6,700.39
  6. Step 6: Final answer
    x = 5,584.40

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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.