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Finding the Fourth Proportional to 6,699.49, 9,243.96 and 4,047.05

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Solution

The fourth proportional to 6,699.49, 9,243.96 and 4,047.05 is: 5,584.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,699.49 : 9,243.96 = 4,047.05 : x
  2. Step 2: Convert to fraction form
    6,699.49/9,243.96 = 4,047.05/x
  3. Step 3: Cross multiply
    6,699.49x = 9,243.96 × 4,047.05
  4. Step 4: Simplify right side
    6,699.49x = 37,410,768.32
  5. Step 5: Solve for x
    x = 37,410,768.32/6,699.49
  6. Step 6: Final answer
    x = 5,584.12

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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.