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Finding the Fourth Proportional to 9,922.28, 13,692.92 and 5,446.45

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Solution

The fourth proportional to 9,922.28, 13,692.92 and 5,446.45 is: 7,516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.28 : 13,692.92 = 5,446.45 : x
  2. Step 2: Convert to fraction form
    9,922.28/13,692.92 = 5,446.45/x
  3. Step 3: Cross multiply
    9,922.28x = 13,692.92 × 5,446.45
  4. Step 4: Simplify right side
    9,922.28x = 74,577,804.13
  5. Step 5: Solve for x
    x = 74,577,804.13/9,922.28
  6. Step 6: Final answer
    x = 7,516.20

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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.