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Finding the Fourth Proportional to 16,580.93, 22,883.78 and 9,507.20

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Solution

The fourth proportional to 16,580.93, 22,883.78 and 9,507.20 is: 13,121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580.93 : 22,883.78 = 9,507.20 : x
  2. Step 2: Convert to fraction form
    16,580.93/22,883.78 = 9,507.20/x
  3. Step 3: Cross multiply
    16,580.93x = 22,883.78 × 9,507.20
  4. Step 4: Simplify right side
    16,580.93x = 217,560,582.57
  5. Step 5: Solve for x
    x = 217,560,582.57/16,580.93
  6. Step 6: Final answer
    x = 13,121.14

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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.