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Finding the Fourth Proportional to 9,692.64, 13,361.76 and 6,703.92

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Solution

The fourth proportional to 9,692.64, 13,361.76 and 6,703.92 is: 9,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.64 : 13,361.76 = 6,703.92 : x
  2. Step 2: Convert to fraction form
    9,692.64/13,361.76 = 6,703.92/x
  3. Step 3: Cross multiply
    9,692.64x = 13,361.76 × 6,703.92
  4. Step 4: Simplify right side
    9,692.64x = 89,576,170.10
  5. Step 5: Solve for x
    x = 89,576,170.10/9,692.64
  6. Step 6: Final answer
    x = 9,241.67

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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.