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Finding the Fourth Proportional to 12,032.48, 16,573.98 and 8,489.48

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Solution

The fourth proportional to 12,032.48, 16,573.98 and 8,489.48 is: 11,693.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.48 : 16,573.98 = 8,489.48 : x
  2. Step 2: Convert to fraction form
    12,032.48/16,573.98 = 8,489.48/x
  3. Step 3: Cross multiply
    12,032.48x = 16,573.98 × 8,489.48
  4. Step 4: Simplify right side
    12,032.48x = 140,704,471.73
  5. Step 5: Solve for x
    x = 140,704,471.73/12,032.48
  6. Step 6: Final answer
    x = 11,693.72

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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.