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Finding the Fourth Proportional to 6,267.56, 8,653.38 and 3,785

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Solution

The fourth proportional to 6,267.56, 8,653.38 and 3,785 is: 5,225.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.56 : 8,653.38 = 3,785 : x
  2. Step 2: Convert to fraction form
    6,267.56/8,653.38 = 3,785/x
  3. Step 3: Cross multiply
    6,267.56x = 8,653.38 × 3,785
  4. Step 4: Simplify right side
    6,267.56x = 32,753,043.30
  5. Step 5: Solve for x
    x = 32,753,043.30/6,267.56
  6. Step 6: Final answer
    x = 5,225.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.