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Finding the Fourth Proportional to 10,159.97, 14,013 and 8,745.98

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Solution

The fourth proportional to 10,159.97, 14,013 and 8,745.98 is: 12,062.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.97 : 14,013 = 8,745.98 : x
  2. Step 2: Convert to fraction form
    10,159.97/14,013 = 8,745.98/x
  3. Step 3: Cross multiply
    10,159.97x = 14,013 × 8,745.98
  4. Step 4: Simplify right side
    10,159.97x = 122,557,347.68
  5. Step 5: Solve for x
    x = 122,557,347.68/10,159.97
  6. Step 6: Final answer
    x = 12,062.77

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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.