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Finding the Fourth Proportional to 8,153.63, 11,252 and 4,427.63

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Solution

The fourth proportional to 8,153.63, 11,252 and 4,427.63 is: 6,110.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.63 : 11,252 = 4,427.63 : x
  2. Step 2: Convert to fraction form
    8,153.63/11,252 = 4,427.63/x
  3. Step 3: Cross multiply
    8,153.63x = 11,252 × 4,427.63
  4. Step 4: Simplify right side
    8,153.63x = 49,819,692.76
  5. Step 5: Solve for x
    x = 49,819,692.76/8,153.63
  6. Step 6: Final answer
    x = 6,110.12

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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.