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Finding the Fourth Proportional to 9,953.70, 14,930.55 and 8,204.10

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Solution

The fourth proportional to 9,953.70, 14,930.55 and 8,204.10 is: 12,306.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.70 : 14,930.55 = 8,204.10 : x
  2. Step 2: Convert to fraction form
    9,953.70/14,930.55 = 8,204.10/x
  3. Step 3: Cross multiply
    9,953.70x = 14,930.55 × 8,204.10
  4. Step 4: Simplify right side
    9,953.70x = 122,491,725.26
  5. Step 5: Solve for x
    x = 122,491,725.26/9,953.70
  6. Step 6: Final answer
    x = 12,306.15

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Similar ratio
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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.