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Finding the Fourth Proportional to 9,296.70, 12,828.87 and 8,553.66

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Solution

The fourth proportional to 9,296.70, 12,828.87 and 8,553.66 is: 11,803.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.70 : 12,828.87 = 8,553.66 : x
  2. Step 2: Convert to fraction form
    9,296.70/12,828.87 = 8,553.66/x
  3. Step 3: Cross multiply
    9,296.70x = 12,828.87 × 8,553.66
  4. Step 4: Simplify right side
    9,296.70x = 109,733,792.16
  5. Step 5: Solve for x
    x = 109,733,792.16/9,296.70
  6. Step 6: Final answer
    x = 11,803.52

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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.