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Finding the Fourth Proportional to 7,277.74, 10,043.27 and 3,965.74

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Solution

The fourth proportional to 7,277.74, 10,043.27 and 3,965.74 is: 5,472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.74 : 10,043.27 = 3,965.74 : x
  2. Step 2: Convert to fraction form
    7,277.74/10,043.27 = 3,965.74/x
  3. Step 3: Cross multiply
    7,277.74x = 10,043.27 × 3,965.74
  4. Step 4: Simplify right side
    7,277.74x = 39,828,957.27
  5. Step 5: Solve for x
    x = 39,828,957.27/7,277.74
  6. Step 6: Final answer
    x = 5,472.71

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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.