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Finding the Fourth Proportional to 7,805.93, 11,708.14 and 4,294.78

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Solution

The fourth proportional to 7,805.93, 11,708.14 and 4,294.78 is: 6,441.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.93 : 11,708.14 = 4,294.78 : x
  2. Step 2: Convert to fraction form
    7,805.93/11,708.14 = 4,294.78/x
  3. Step 3: Cross multiply
    7,805.93x = 11,708.14 × 4,294.78
  4. Step 4: Simplify right side
    7,805.93x = 50,283,907.33
  5. Step 5: Solve for x
    x = 50,283,907.33/7,805.93
  6. Step 6: Final answer
    x = 6,441.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.