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Finding the Fourth Proportional to 7,781.67, 10,738.71 and 4,245.08

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Solution

The fourth proportional to 7,781.67, 10,738.71 and 4,245.08 is: 5,858.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.67 : 10,738.71 = 4,245.08 : x
  2. Step 2: Convert to fraction form
    7,781.67/10,738.71 = 4,245.08/x
  3. Step 3: Cross multiply
    7,781.67x = 10,738.71 × 4,245.08
  4. Step 4: Simplify right side
    7,781.67x = 45,586,629.35
  5. Step 5: Solve for x
    x = 45,586,629.35/7,781.67
  6. Step 6: Final answer
    x = 5,858.21

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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.