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Finding the Fourth Proportional to 11,593.74, 16,002.14 and 6,814.74

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Solution

The fourth proportional to 11,593.74, 16,002.14 and 6,814.74 is: 9,405.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.74 : 16,002.14 = 6,814.74 : x
  2. Step 2: Convert to fraction form
    11,593.74/16,002.14 = 6,814.74/x
  3. Step 3: Cross multiply
    11,593.74x = 16,002.14 × 6,814.74
  4. Step 4: Simplify right side
    11,593.74x = 109,050,423.54
  5. Step 5: Solve for x
    x = 109,050,423.54/11,593.74
  6. Step 6: Final answer
    x = 9,405.97

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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.