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Finding the Fourth Proportional to 11,310.95, 16,952.47 and 8,201.63

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Solution

The fourth proportional to 11,310.95, 16,952.47 and 8,201.63 is: 12,292.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,310.95 : 16,952.47 = 8,201.63 : x
  2. Step 2: Convert to fraction form
    11,310.95/16,952.47 = 8,201.63/x
  3. Step 3: Cross multiply
    11,310.95x = 16,952.47 × 8,201.63
  4. Step 4: Simplify right side
    11,310.95x = 139,037,886.53
  5. Step 5: Solve for x
    x = 139,037,886.53/11,310.95
  6. Step 6: Final answer
    x = 12,292.33

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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.