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Finding the Fourth Proportional to 5,692.84, 8,542.50 and 5,648.92

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Solution

The fourth proportional to 5,692.84, 8,542.50 and 5,648.92 is: 8,476.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.84 : 8,542.50 = 5,648.92 : x
  2. Step 2: Convert to fraction form
    5,692.84/8,542.50 = 5,648.92/x
  3. Step 3: Cross multiply
    5,692.84x = 8,542.50 × 5,648.92
  4. Step 4: Simplify right side
    5,692.84x = 48,255,899.10
  5. Step 5: Solve for x
    x = 48,255,899.10/5,692.84
  6. Step 6: Final answer
    x = 8,476.60

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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.