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Finding the Fourth Proportional to 6,504.98, 9,757.49 and 1,574.61

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Solution

The fourth proportional to 6,504.98, 9,757.49 and 1,574.61 is: 2,361.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.98 : 9,757.49 = 1,574.61 : x
  2. Step 2: Convert to fraction form
    6,504.98/9,757.49 = 1,574.61/x
  3. Step 3: Cross multiply
    6,504.98x = 9,757.49 × 1,574.61
  4. Step 4: Simplify right side
    6,504.98x = 15,364,196.87
  5. Step 5: Solve for x
    x = 15,364,196.87/6,504.98
  6. Step 6: Final answer
    x = 2,361.91

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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.