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Finding the Fourth Proportional to 16,580.84, 22,882.04 and 9,410.64

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Solution

The fourth proportional to 16,580.84, 22,882.04 and 9,410.64 is: 12,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580.84 : 22,882.04 = 9,410.64 : x
  2. Step 2: Convert to fraction form
    16,580.84/22,882.04 = 9,410.64/x
  3. Step 3: Cross multiply
    16,580.84x = 22,882.04 × 9,410.64
  4. Step 4: Simplify right side
    16,580.84x = 215,334,640.91
  5. Step 5: Solve for x
    x = 215,334,640.91/16,580.84
  6. Step 6: Final answer
    x = 12,986.96

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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.