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Finding the Fourth Proportional to 16,284, 22,464.40 and 9,567.52

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Solution

The fourth proportional to 16,284, 22,464.40 and 9,567.52 is: 13,198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284 : 22,464.40 = 9,567.52 : x
  2. Step 2: Convert to fraction form
    16,284/22,464.40 = 9,567.52/x
  3. Step 3: Cross multiply
    16,284x = 22,464.40 × 9,567.52
  4. Step 4: Simplify right side
    16,284x = 214,928,596.29
  5. Step 5: Solve for x
    x = 214,928,596.29/16,284
  6. Step 6: Final answer
    x = 13,198.76

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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.