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Finding the Fourth Proportional to 9,593.82, 14,358.22 and 5,898.40

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Solution

The fourth proportional to 9,593.82, 14,358.22 and 5,898.40 is: 8,827.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,593.82 : 14,358.22 = 5,898.40 : x
  2. Step 2: Convert to fraction form
    9,593.82/14,358.22 = 5,898.40/x
  3. Step 3: Cross multiply
    9,593.82x = 14,358.22 × 5,898.40
  4. Step 4: Simplify right side
    9,593.82x = 84,690,524.85
  5. Step 5: Solve for x
    x = 84,690,524.85/9,593.82
  6. Step 6: Final answer
    x = 8,827.61

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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.