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Finding the Fourth Proportional to 7,125.77, 9,834.71 and 4,473.56

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Solution

The fourth proportional to 7,125.77, 9,834.71 and 4,473.56 is: 6,174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.77 : 9,834.71 = 4,473.56 : x
  2. Step 2: Convert to fraction form
    7,125.77/9,834.71 = 4,473.56/x
  3. Step 3: Cross multiply
    7,125.77x = 9,834.71 × 4,473.56
  4. Step 4: Simplify right side
    7,125.77x = 43,996,093.73
  5. Step 5: Solve for x
    x = 43,996,093.73/7,125.77
  6. Step 6: Final answer
    x = 6,174.23

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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.