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Finding the Fourth Proportional to 4,692.64, 7,038.96 and 3,396.64

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Solution

The fourth proportional to 4,692.64, 7,038.96 and 3,396.64 is: 5,094.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.64 : 7,038.96 = 3,396.64 : x
  2. Step 2: Convert to fraction form
    4,692.64/7,038.96 = 3,396.64/x
  3. Step 3: Cross multiply
    4,692.64x = 7,038.96 × 3,396.64
  4. Step 4: Simplify right side
    4,692.64x = 23,908,813.09
  5. Step 5: Solve for x
    x = 23,908,813.09/4,692.64
  6. Step 6: Final answer
    x = 5,094.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.