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Finding the Fourth Proportional to 15,201.16, 20,977.44 and 8,486.64

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Solution

The fourth proportional to 15,201.16, 20,977.44 and 8,486.64 is: 11,711.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,201.16 : 20,977.44 = 8,486.64 : x
  2. Step 2: Convert to fraction form
    15,201.16/20,977.44 = 8,486.64/x
  3. Step 3: Cross multiply
    15,201.16x = 20,977.44 × 8,486.64
  4. Step 4: Simplify right side
    15,201.16x = 178,027,981.40
  5. Step 5: Solve for x
    x = 178,027,981.40/15,201.16
  6. Step 6: Final answer
    x = 11,711.47

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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.