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Finding the Fourth Proportional to 11,857.89, 17,783.02 and 6,595.41

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Solution

The fourth proportional to 11,857.89, 17,783.02 and 6,595.41 is: 9,890.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.89 : 17,783.02 = 6,595.41 : x
  2. Step 2: Convert to fraction form
    11,857.89/17,783.02 = 6,595.41/x
  3. Step 3: Cross multiply
    11,857.89x = 17,783.02 × 6,595.41
  4. Step 4: Simplify right side
    11,857.89x = 117,286,274.96
  5. Step 5: Solve for x
    x = 117,286,274.96/11,857.89
  6. Step 6: Final answer
    x = 9,890.99

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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.