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Finding the Fourth Proportional to 4,942.60, 7,403.10 and 4,294.60

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Solution

The fourth proportional to 4,942.60, 7,403.10 and 4,294.60 is: 6,432.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.60 : 7,403.10 = 4,294.60 : x
  2. Step 2: Convert to fraction form
    4,942.60/7,403.10 = 4,294.60/x
  3. Step 3: Cross multiply
    4,942.60x = 7,403.10 × 4,294.60
  4. Step 4: Simplify right side
    4,942.60x = 31,793,353.26
  5. Step 5: Solve for x
    x = 31,793,353.26/4,942.60
  6. Step 6: Final answer
    x = 6,432.52

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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.