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Finding the Fourth Proportional to 14,834, 20,472.20 and 8,211.28

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Solution

The fourth proportional to 14,834, 20,472.20 and 8,211.28 is: 11,332.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,834 : 20,472.20 = 8,211.28 : x
  2. Step 2: Convert to fraction form
    14,834/20,472.20 = 8,211.28/x
  3. Step 3: Cross multiply
    14,834x = 20,472.20 × 8,211.28
  4. Step 4: Simplify right side
    14,834x = 168,102,966.42
  5. Step 5: Solve for x
    x = 168,102,966.42/14,834
  6. Step 6: Final answer
    x = 11,332.27

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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.