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Finding the Fourth Proportional to 7,823.67, 10,796.67 and 4,286.88

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Solution

The fourth proportional to 7,823.67, 10,796.67 and 4,286.88 is: 5,915.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.67 : 10,796.67 = 4,286.88 : x
  2. Step 2: Convert to fraction form
    7,823.67/10,796.67 = 4,286.88/x
  3. Step 3: Cross multiply
    7,823.67x = 10,796.67 × 4,286.88
  4. Step 4: Simplify right side
    7,823.67x = 46,284,066.40
  5. Step 5: Solve for x
    x = 46,284,066.40/7,823.67
  6. Step 6: Final answer
    x = 5,915.90

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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.