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Finding the Fourth Proportional to 9,474.70, 14,212.06 and 4,208.48

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Solution

The fourth proportional to 9,474.70, 14,212.06 and 4,208.48 is: 6,312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.70 : 14,212.06 = 4,208.48 : x
  2. Step 2: Convert to fraction form
    9,474.70/14,212.06 = 4,208.48/x
  3. Step 3: Cross multiply
    9,474.70x = 14,212.06 × 4,208.48
  4. Step 4: Simplify right side
    9,474.70x = 59,811,170.27
  5. Step 5: Solve for x
    x = 59,811,170.27/9,474.70
  6. Step 6: Final answer
    x = 6,312.72

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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.