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Finding the Fourth Proportional to 16,140, 22,273.10 and 9,066.27

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Solution

The fourth proportional to 16,140, 22,273.10 and 9,066.27 is: 12,511.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,140 : 22,273.10 = 9,066.27 : x
  2. Step 2: Convert to fraction form
    16,140/22,273.10 = 9,066.27/x
  3. Step 3: Cross multiply
    16,140x = 22,273.10 × 9,066.27
  4. Step 4: Simplify right side
    16,140x = 201,933,893.01
  5. Step 5: Solve for x
    x = 201,933,893.01/16,140
  6. Step 6: Final answer
    x = 12,511.39

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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.