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Finding the Fourth Proportional to 6,984.69, 9,641.14 and 4,473.56

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Solution

The fourth proportional to 6,984.69, 9,641.14 and 4,473.56 is: 6,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.69 : 9,641.14 = 4,473.56 : x
  2. Step 2: Convert to fraction form
    6,984.69/9,641.14 = 4,473.56/x
  3. Step 3: Cross multiply
    6,984.69x = 9,641.14 × 4,473.56
  4. Step 4: Simplify right side
    6,984.69x = 43,130,195.89
  5. Step 5: Solve for x
    x = 43,130,195.89/6,984.69
  6. Step 6: Final answer
    x = 6,174.96

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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.