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Finding the Fourth Proportional to 6,687.46, 10,031.14 and 1,757.02

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Solution

The fourth proportional to 6,687.46, 10,031.14 and 1,757.02 is: 2,635.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.46 : 10,031.14 = 1,757.02 : x
  2. Step 2: Convert to fraction form
    6,687.46/10,031.14 = 1,757.02/x
  3. Step 3: Cross multiply
    6,687.46x = 10,031.14 × 1,757.02
  4. Step 4: Simplify right side
    6,687.46x = 17,624,913.60
  5. Step 5: Solve for x
    x = 17,624,913.60/6,687.46
  6. Step 6: Final answer
    x = 2,635.52

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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.