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Finding the Fourth Proportional to 7,277.64, 10,043.13 and 3,965.64

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Solution

The fourth proportional to 7,277.64, 10,043.13 and 3,965.64 is: 5,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.64 : 10,043.13 = 3,965.64 : x
  2. Step 2: Convert to fraction form
    7,277.64/10,043.13 = 3,965.64/x
  3. Step 3: Cross multiply
    7,277.64x = 10,043.13 × 3,965.64
  4. Step 4: Simplify right side
    7,277.64x = 39,827,438.05
  5. Step 5: Solve for x
    x = 39,827,438.05/7,277.64
  6. Step 6: Final answer
    x = 5,472.58

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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.