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Finding the Fourth Proportional to 9,472.74, 14,209.34 and 2,898.96

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Solution

The fourth proportional to 9,472.74, 14,209.34 and 2,898.96 is: 4,348.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.74 : 14,209.34 = 2,898.96 : x
  2. Step 2: Convert to fraction form
    9,472.74/14,209.34 = 2,898.96/x
  3. Step 3: Cross multiply
    9,472.74x = 14,209.34 × 2,898.96
  4. Step 4: Simplify right side
    9,472.74x = 41,192,293.79
  5. Step 5: Solve for x
    x = 41,192,293.79/9,472.74
  6. Step 6: Final answer
    x = 4,348.51

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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.