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Finding the Fourth Proportional to 8,546.56, 12,822.40 and 3,617.92

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Solution

The fourth proportional to 8,546.56, 12,822.40 and 3,617.92 is: 5,427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.56 : 12,822.40 = 3,617.92 : x
  2. Step 2: Convert to fraction form
    8,546.56/12,822.40 = 3,617.92/x
  3. Step 3: Cross multiply
    8,546.56x = 12,822.40 × 3,617.92
  4. Step 4: Simplify right side
    8,546.56x = 46,390,417.41
  5. Step 5: Solve for x
    x = 46,390,417.41/8,546.56
  6. Step 6: Final answer
    x = 5,427.96

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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.