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Finding the Fourth Proportional to 9,922.34, 13,692.39 and 5,446.10

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Solution

The fourth proportional to 9,922.34, 13,692.39 and 5,446.10 is: 7,515.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.34 : 13,692.39 = 5,446.10 : x
  2. Step 2: Convert to fraction form
    9,922.34/13,692.39 = 5,446.10/x
  3. Step 3: Cross multiply
    9,922.34x = 13,692.39 × 5,446.10
  4. Step 4: Simplify right side
    9,922.34x = 74,570,125.18
  5. Step 5: Solve for x
    x = 74,570,125.18/9,922.34
  6. Step 6: Final answer
    x = 7,515.38

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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.