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Finding the Fourth Proportional to 6,294.70, 9,442.05 and 5,310.55

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Solution

The fourth proportional to 6,294.70, 9,442.05 and 5,310.55 is: 7,965.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.70 : 9,442.05 = 5,310.55 : x
  2. Step 2: Convert to fraction form
    6,294.70/9,442.05 = 5,310.55/x
  3. Step 3: Cross multiply
    6,294.70x = 9,442.05 × 5,310.55
  4. Step 4: Simplify right side
    6,294.70x = 50,142,478.63
  5. Step 5: Solve for x
    x = 50,142,478.63/6,294.70
  6. Step 6: Final answer
    x = 7,965.83

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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.