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Finding the Fourth Proportional to 15,665.34, 23,504.17 and 6,894.11

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Solution

The fourth proportional to 15,665.34, 23,504.17 and 6,894.11 is: 10,343.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,665.34 : 23,504.17 = 6,894.11 : x
  2. Step 2: Convert to fraction form
    15,665.34/23,504.17 = 6,894.11/x
  3. Step 3: Cross multiply
    15,665.34x = 23,504.17 × 6,894.11
  4. Step 4: Simplify right side
    15,665.34x = 162,040,181.45
  5. Step 5: Solve for x
    x = 162,040,181.45/15,665.34
  6. Step 6: Final answer
    x = 10,343.86

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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.