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Finding the Fourth Proportional to 5,602.64, 8,396.60 and 4,204.96

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Solution

The fourth proportional to 5,602.64, 8,396.60 and 4,204.96 is: 6,301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.64 : 8,396.60 = 4,204.96 : x
  2. Step 2: Convert to fraction form
    5,602.64/8,396.60 = 4,204.96/x
  3. Step 3: Cross multiply
    5,602.64x = 8,396.60 × 4,204.96
  4. Step 4: Simplify right side
    5,602.64x = 35,307,367.14
  5. Step 5: Solve for x
    x = 35,307,367.14/5,602.64
  6. Step 6: Final answer
    x = 6,301.92

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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.