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Finding the Fourth Proportional to 16,584.64, 22,886.78 and 9,132.64

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Solution

The fourth proportional to 16,584.64, 22,886.78 and 9,132.64 is: 12,603.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.64 : 22,886.78 = 9,132.64 : x
  2. Step 2: Convert to fraction form
    16,584.64/22,886.78 = 9,132.64/x
  3. Step 3: Cross multiply
    16,584.64x = 22,886.78 × 9,132.64
  4. Step 4: Simplify right side
    16,584.64x = 209,016,722.50
  5. Step 5: Solve for x
    x = 209,016,722.50/16,584.64
  6. Step 6: Final answer
    x = 12,603.03

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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.