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Finding the Fourth Proportional to 14,598.78, 20,146.34 and 8,311.16

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Solution

The fourth proportional to 14,598.78, 20,146.34 and 8,311.16 is: 11,469.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,598.78 : 20,146.34 = 8,311.16 : x
  2. Step 2: Convert to fraction form
    14,598.78/20,146.34 = 8,311.16/x
  3. Step 3: Cross multiply
    14,598.78x = 20,146.34 × 8,311.16
  4. Step 4: Simplify right side
    14,598.78x = 167,439,455.15
  5. Step 5: Solve for x
    x = 167,439,455.15/14,598.78
  6. Step 6: Final answer
    x = 11,469.41

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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.