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Finding the Fourth Proportional to 5,633.68, 8,425.68 and 5,116.96

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Solution

The fourth proportional to 5,633.68, 8,425.68 and 5,116.96 is: 7,652.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.68 : 8,425.68 = 5,116.96 : x
  2. Step 2: Convert to fraction form
    5,633.68/8,425.68 = 5,116.96/x
  3. Step 3: Cross multiply
    5,633.68x = 8,425.68 × 5,116.96
  4. Step 4: Simplify right side
    5,633.68x = 43,113,867.53
  5. Step 5: Solve for x
    x = 43,113,867.53/5,633.68
  6. Step 6: Final answer
    x = 7,652.88

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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.