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Finding the Fourth Proportional to 4,770.35, 7,156.17 and 1,649.52

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Solution

The fourth proportional to 4,770.35, 7,156.17 and 1,649.52 is: 2,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.35 : 7,156.17 = 1,649.52 : x
  2. Step 2: Convert to fraction form
    4,770.35/7,156.17 = 1,649.52/x
  3. Step 3: Cross multiply
    4,770.35x = 7,156.17 × 1,649.52
  4. Step 4: Simplify right side
    4,770.35x = 11,804,221.25
  5. Step 5: Solve for x
    x = 11,804,221.25/4,770.35
  6. Step 6: Final answer
    x = 2,474.50

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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.