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Finding the Fourth Proportional to 6,809.40, 9,393.48 and 4,571.52

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Solution

The fourth proportional to 6,809.40, 9,393.48 and 4,571.52 is: 6,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.40 : 9,393.48 = 4,571.52 : x
  2. Step 2: Convert to fraction form
    6,809.40/9,393.48 = 4,571.52/x
  3. Step 3: Cross multiply
    6,809.40x = 9,393.48 × 4,571.52
  4. Step 4: Simplify right side
    6,809.40x = 42,942,481.69
  5. Step 5: Solve for x
    x = 42,942,481.69/6,809.40
  6. Step 6: Final answer
    x = 6,306.35

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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.