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Finding the Fourth Proportional to 6,973.44, 9,628.92 and 5,398.80

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Solution

The fourth proportional to 6,973.44, 9,628.92 and 5,398.80 is: 7,454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.44 : 9,628.92 = 5,398.80 : x
  2. Step 2: Convert to fraction form
    6,973.44/9,628.92 = 5,398.80/x
  3. Step 3: Cross multiply
    6,973.44x = 9,628.92 × 5,398.80
  4. Step 4: Simplify right side
    6,973.44x = 51,984,613.30
  5. Step 5: Solve for x
    x = 51,984,613.30/6,973.44
  6. Step 6: Final answer
    x = 7,454.66

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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.