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Finding the Fourth Proportional to 16,584.56, 22,886.64 and 9,132.56

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Solution

The fourth proportional to 16,584.56, 22,886.64 and 9,132.56 is: 12,602.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.56 : 22,886.64 = 9,132.56 : x
  2. Step 2: Convert to fraction form
    16,584.56/22,886.64 = 9,132.56/x
  3. Step 3: Cross multiply
    16,584.56x = 22,886.64 × 9,132.56
  4. Step 4: Simplify right side
    16,584.56x = 209,013,613.00
  5. Step 5: Solve for x
    x = 209,013,613.00/16,584.56
  6. Step 6: Final answer
    x = 12,602.90

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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.