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Finding the Fourth Proportional to 5,577.24, 7,692.12 and 4,948.20

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Solution

The fourth proportional to 5,577.24, 7,692.12 and 4,948.20 is: 6,824.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.24 : 7,692.12 = 4,948.20 : x
  2. Step 2: Convert to fraction form
    5,577.24/7,692.12 = 4,948.20/x
  3. Step 3: Cross multiply
    5,577.24x = 7,692.12 × 4,948.20
  4. Step 4: Simplify right side
    5,577.24x = 38,062,148.18
  5. Step 5: Solve for x
    x = 38,062,148.18/5,577.24
  6. Step 6: Final answer
    x = 6,824.55

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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.