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Finding the Fourth Proportional to 7,805.04, 10,769.49 and 4,617.60

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Solution

The fourth proportional to 7,805.04, 10,769.49 and 4,617.60 is: 6,371.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.04 : 10,769.49 = 4,617.60 : x
  2. Step 2: Convert to fraction form
    7,805.04/10,769.49 = 4,617.60/x
  3. Step 3: Cross multiply
    7,805.04x = 10,769.49 × 4,617.60
  4. Step 4: Simplify right side
    7,805.04x = 49,729,197.02
  5. Step 5: Solve for x
    x = 49,729,197.02/7,805.04
  6. Step 6: Final answer
    x = 6,371.42

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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.