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Finding the Fourth Proportional to 7,833.42, 10,811.75 and 7,202.95

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Solution

The fourth proportional to 7,833.42, 10,811.75 and 7,202.95 is: 9,941.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.42 : 10,811.75 = 7,202.95 : x
  2. Step 2: Convert to fraction form
    7,833.42/10,811.75 = 7,202.95/x
  3. Step 3: Cross multiply
    7,833.42x = 10,811.75 × 7,202.95
  4. Step 4: Simplify right side
    7,833.42x = 77,876,431.62
  5. Step 5: Solve for x
    x = 77,876,431.62/7,833.42
  6. Step 6: Final answer
    x = 9,941.56

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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.