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Finding the Fourth Proportional to 9,704.00, 14,534.34 and 8,438.38

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Solution

The fourth proportional to 9,704.00, 14,534.34 and 8,438.38 is: 12,638.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.00 : 14,534.34 = 8,438.38 : x
  2. Step 2: Convert to fraction form
    9,704.00/14,534.34 = 8,438.38/x
  3. Step 3: Cross multiply
    9,704.00x = 14,534.34 × 8,438.38
  4. Step 4: Simplify right side
    9,704.00x = 122,646,215.99
  5. Step 5: Solve for x
    x = 122,646,215.99/9,704.00
  6. Step 6: Final answer
    x = 12,638.72

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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.