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Finding the Fourth Proportional to 11,370.97, 15,692.97 and 6,895.86

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Solution

The fourth proportional to 11,370.97, 15,692.97 and 6,895.86 is: 9,516.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,370.97 : 15,692.97 = 6,895.86 : x
  2. Step 2: Convert to fraction form
    11,370.97/15,692.97 = 6,895.86/x
  3. Step 3: Cross multiply
    11,370.97x = 15,692.97 × 6,895.86
  4. Step 4: Simplify right side
    11,370.97x = 108,216,524.10
  5. Step 5: Solve for x
    x = 108,216,524.10/11,370.97
  6. Step 6: Final answer
    x = 9,516.91

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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.