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Finding the Fourth Proportional to 15,633, 21,575.60 and 8,917.09

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Solution

The fourth proportional to 15,633, 21,575.60 and 8,917.09 is: 12,306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,633 : 21,575.60 = 8,917.09 : x
  2. Step 2: Convert to fraction form
    15,633/21,575.60 = 8,917.09/x
  3. Step 3: Cross multiply
    15,633x = 21,575.60 × 8,917.09
  4. Step 4: Simplify right side
    15,633x = 192,391,567.00
  5. Step 5: Solve for x
    x = 192,391,567.00/15,633
  6. Step 6: Final answer
    x = 12,306.76

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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.