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Finding the Fourth Proportional to 11,809.73, 16,298.58 and 8,820.38

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Solution

The fourth proportional to 11,809.73, 16,298.58 and 8,820.38 is: 12,172.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.73 : 16,298.58 = 8,820.38 : x
  2. Step 2: Convert to fraction form
    11,809.73/16,298.58 = 8,820.38/x
  3. Step 3: Cross multiply
    11,809.73x = 16,298.58 × 8,820.38
  4. Step 4: Simplify right side
    11,809.73x = 143,759,650.36
  5. Step 5: Solve for x
    x = 143,759,650.36/11,809.73
  6. Step 6: Final answer
    x = 12,172.98

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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.