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Finding the Fourth Proportional to 6,507.57, 9,754.86 and 2,553.42

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Solution

The fourth proportional to 6,507.57, 9,754.86 and 2,553.42 is: 3,827.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.57 : 9,754.86 = 2,553.42 : x
  2. Step 2: Convert to fraction form
    6,507.57/9,754.86 = 2,553.42/x
  3. Step 3: Cross multiply
    6,507.57x = 9,754.86 × 2,553.42
  4. Step 4: Simplify right side
    6,507.57x = 24,908,254.62
  5. Step 5: Solve for x
    x = 24,908,254.62/6,507.57
  6. Step 6: Final answer
    x = 3,827.58

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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.