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Finding the Fourth Proportional to 8,472.95, 11,692.37 and 4,644.57

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Solution

The fourth proportional to 8,472.95, 11,692.37 and 4,644.57 is: 6,409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.95 : 11,692.37 = 4,644.57 : x
  2. Step 2: Convert to fraction form
    8,472.95/11,692.37 = 4,644.57/x
  3. Step 3: Cross multiply
    8,472.95x = 11,692.37 × 4,644.57
  4. Step 4: Simplify right side
    8,472.95x = 54,306,007.71
  5. Step 5: Solve for x
    x = 54,306,007.71/8,472.95
  6. Step 6: Final answer
    x = 6,409.34

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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.