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Finding the Fourth Proportional to 16,584.64, 22,884.16 and 9,509.76

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Solution

The fourth proportional to 16,584.64, 22,884.16 and 9,509.76 is: 13,121.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.64 : 22,884.16 = 9,509.76 : x
  2. Step 2: Convert to fraction form
    16,584.64/22,884.16 = 9,509.76/x
  3. Step 3: Cross multiply
    16,584.64x = 22,884.16 × 9,509.76
  4. Step 4: Simplify right side
    16,584.64x = 217,622,869.40
  5. Step 5: Solve for x
    x = 217,622,869.40/16,584.64
  6. Step 6: Final answer
    x = 13,121.95

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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.