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Finding the Fourth Proportional to 11,330.94, 16,984.72 and 8,203.18

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Solution

The fourth proportional to 11,330.94, 16,984.72 and 8,203.18 is: 12,296.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,330.94 : 16,984.72 = 8,203.18 : x
  2. Step 2: Convert to fraction form
    11,330.94/16,984.72 = 8,203.18/x
  3. Step 3: Cross multiply
    11,330.94x = 16,984.72 × 8,203.18
  4. Step 4: Simplify right side
    11,330.94x = 139,328,715.41
  5. Step 5: Solve for x
    x = 139,328,715.41/11,330.94
  6. Step 6: Final answer
    x = 12,296.31

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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.