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Finding the Fourth Proportional to 6,504.70, 9,757.13 and 1,574.36

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Solution

The fourth proportional to 6,504.70, 9,757.13 and 1,574.36 is: 2,361.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.70 : 9,757.13 = 1,574.36 : x
  2. Step 2: Convert to fraction form
    6,504.70/9,757.13 = 1,574.36/x
  3. Step 3: Cross multiply
    6,504.70x = 9,757.13 × 1,574.36
  4. Step 4: Simplify right side
    6,504.70x = 15,361,251.71
  5. Step 5: Solve for x
    x = 15,361,251.71/6,504.70
  6. Step 6: Final answer
    x = 2,361.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.