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Finding the Fourth Proportional to 16,333, 22,539.57 and 9,260.08

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Solution

The fourth proportional to 16,333, 22,539.57 and 9,260.08 is: 12,778.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,333 : 22,539.57 = 9,260.08 : x
  2. Step 2: Convert to fraction form
    16,333/22,539.57 = 9,260.08/x
  3. Step 3: Cross multiply
    16,333x = 22,539.57 × 9,260.08
  4. Step 4: Simplify right side
    16,333x = 208,718,221.37
  5. Step 5: Solve for x
    x = 208,718,221.37/16,333
  6. Step 6: Final answer
    x = 12,778.93

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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.