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Finding the Fourth Proportional to 10,691.64, 16,038.99 and 5,754.60

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Solution

The fourth proportional to 10,691.64, 16,038.99 and 5,754.60 is: 8,632.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.64 : 16,038.99 = 5,754.60 : x
  2. Step 2: Convert to fraction form
    10,691.64/16,038.99 = 5,754.60/x
  3. Step 3: Cross multiply
    10,691.64x = 16,038.99 × 5,754.60
  4. Step 4: Simplify right side
    10,691.64x = 92,297,971.85
  5. Step 5: Solve for x
    x = 92,297,971.85/10,691.64
  6. Step 6: Final answer
    x = 8,632.72

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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.