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Finding the Fourth Proportional to 5,942.40, 8,913.60 and 5,121.60

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Solution

The fourth proportional to 5,942.40, 8,913.60 and 5,121.60 is: 7,682.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.40 : 8,913.60 = 5,121.60 : x
  2. Step 2: Convert to fraction form
    5,942.40/8,913.60 = 5,121.60/x
  3. Step 3: Cross multiply
    5,942.40x = 8,913.60 × 5,121.60
  4. Step 4: Simplify right side
    5,942.40x = 45,651,893.76
  5. Step 5: Solve for x
    x = 45,651,893.76/5,942.40
  6. Step 6: Final answer
    x = 7,682.40

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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.