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Finding the Fourth Proportional to 8,047.86, 11,106.36 and 4,692.84

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Solution

The fourth proportional to 8,047.86, 11,106.36 and 4,692.84 is: 6,476.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.86 : 11,106.36 = 4,692.84 : x
  2. Step 2: Convert to fraction form
    8,047.86/11,106.36 = 4,692.84/x
  3. Step 3: Cross multiply
    8,047.86x = 11,106.36 × 4,692.84
  4. Step 4: Simplify right side
    8,047.86x = 52,120,370.46
  5. Step 5: Solve for x
    x = 52,120,370.46/8,047.86
  6. Step 6: Final answer
    x = 6,476.30

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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.