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Finding the Fourth Proportional to 9,269.70, 12,793.10 and 5,291.42

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Solution

The fourth proportional to 9,269.70, 12,793.10 and 5,291.42 is: 7,302.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.70 : 12,793.10 = 5,291.42 : x
  2. Step 2: Convert to fraction form
    9,269.70/12,793.10 = 5,291.42/x
  3. Step 3: Cross multiply
    9,269.70x = 12,793.10 × 5,291.42
  4. Step 4: Simplify right side
    9,269.70x = 67,693,665.20
  5. Step 5: Solve for x
    x = 67,693,665.20/9,269.70
  6. Step 6: Final answer
    x = 7,302.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.