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Finding the Fourth Proportional to 6,687.14, 10,031.16 and 1,756.77

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Solution

The fourth proportional to 6,687.14, 10,031.16 and 1,756.77 is: 2,635.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.14 : 10,031.16 = 1,756.77 : x
  2. Step 2: Convert to fraction form
    6,687.14/10,031.16 = 1,756.77/x
  3. Step 3: Cross multiply
    6,687.14x = 10,031.16 × 1,756.77
  4. Step 4: Simplify right side
    6,687.14x = 17,622,440.95
  5. Step 5: Solve for x
    x = 17,622,440.95/6,687.14
  6. Step 6: Final answer
    x = 2,635.28

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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.