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Finding the Fourth Proportional to 4,907.56, 6,770.82 and 3,044.20

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Solution

The fourth proportional to 4,907.56, 6,770.82 and 3,044.20 is: 4,200.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.56 : 6,770.82 = 3,044.20 : x
  2. Step 2: Convert to fraction form
    4,907.56/6,770.82 = 3,044.20/x
  3. Step 3: Cross multiply
    4,907.56x = 6,770.82 × 3,044.20
  4. Step 4: Simplify right side
    4,907.56x = 20,611,730.24
  5. Step 5: Solve for x
    x = 20,611,730.24/4,907.56
  6. Step 6: Final answer
    x = 4,200.00

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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.