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Finding the Fourth Proportional to 12,006.93, 16,549.65 and 8,026.59

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Solution

The fourth proportional to 12,006.93, 16,549.65 and 8,026.59 is: 11,063.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.93 : 16,549.65 = 8,026.59 : x
  2. Step 2: Convert to fraction form
    12,006.93/16,549.65 = 8,026.59/x
  3. Step 3: Cross multiply
    12,006.93x = 16,549.65 × 8,026.59
  4. Step 4: Simplify right side
    12,006.93x = 132,837,255.19
  5. Step 5: Solve for x
    x = 132,837,255.19/12,006.93
  6. Step 6: Final answer
    x = 11,063.38

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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.