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Finding the Fourth Proportional to 6,769.04, 9,320.90 and 6,374.48

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Solution

The fourth proportional to 6,769.04, 9,320.90 and 6,374.48 is: 8,777.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.04 : 9,320.90 = 6,374.48 : x
  2. Step 2: Convert to fraction form
    6,769.04/9,320.90 = 6,374.48/x
  3. Step 3: Cross multiply
    6,769.04x = 9,320.90 × 6,374.48
  4. Step 4: Simplify right side
    6,769.04x = 59,415,890.63
  5. Step 5: Solve for x
    x = 59,415,890.63/6,769.04
  6. Step 6: Final answer
    x = 8,777.59

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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.