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Finding the Fourth Proportional to 6,856.60, 9,453.36 and 4,494.64

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Solution

The fourth proportional to 6,856.60, 9,453.36 and 4,494.64 is: 6,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.60 : 9,453.36 = 4,494.64 : x
  2. Step 2: Convert to fraction form
    6,856.60/9,453.36 = 4,494.64/x
  3. Step 3: Cross multiply
    6,856.60x = 9,453.36 × 4,494.64
  4. Step 4: Simplify right side
    6,856.60x = 42,489,449.99
  5. Step 5: Solve for x
    x = 42,489,449.99/6,856.60
  6. Step 6: Final answer
    x = 6,196.87

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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.