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Finding the Fourth Proportional to 16,486.16, 22,750.92 and 9,775.08

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Solution

The fourth proportional to 16,486.16, 22,750.92 and 9,775.08 is: 13,489.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,486.16 : 22,750.92 = 9,775.08 : x
  2. Step 2: Convert to fraction form
    16,486.16/22,750.92 = 9,775.08/x
  3. Step 3: Cross multiply
    16,486.16x = 22,750.92 × 9,775.08
  4. Step 4: Simplify right side
    16,486.16x = 222,392,063.07
  5. Step 5: Solve for x
    x = 222,392,063.07/16,486.16
  6. Step 6: Final answer
    x = 13,489.63

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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.