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Finding the Fourth Proportional to 9,604.01, 14,406.03 and 6,331.72

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Solution

The fourth proportional to 9,604.01, 14,406.03 and 6,331.72 is: 9,497.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.01 : 14,406.03 = 6,331.72 : x
  2. Step 2: Convert to fraction form
    9,604.01/14,406.03 = 6,331.72/x
  3. Step 3: Cross multiply
    9,604.01x = 14,406.03 × 6,331.72
  4. Step 4: Simplify right side
    9,604.01x = 91,214,948.27
  5. Step 5: Solve for x
    x = 91,214,948.27/9,604.01
  6. Step 6: Final answer
    x = 9,497.59

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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.