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Finding the Fourth Proportional to 9,753.70, 14,630.55 and 8,083.30

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Solution

The fourth proportional to 9,753.70, 14,630.55 and 8,083.30 is: 12,124.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.70 : 14,630.55 = 8,083.30 : x
  2. Step 2: Convert to fraction form
    9,753.70/14,630.55 = 8,083.30/x
  3. Step 3: Cross multiply
    9,753.70x = 14,630.55 × 8,083.30
  4. Step 4: Simplify right side
    9,753.70x = 118,263,124.82
  5. Step 5: Solve for x
    x = 118,263,124.82/9,753.70
  6. Step 6: Final answer
    x = 12,124.95

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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.