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Finding the Fourth Proportional to 7,185.97, 10,770.98 and 3,024.74

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Solution

The fourth proportional to 7,185.97, 10,770.98 and 3,024.74 is: 4,533.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.97 : 10,770.98 = 3,024.74 : x
  2. Step 2: Convert to fraction form
    7,185.97/10,770.98 = 3,024.74/x
  3. Step 3: Cross multiply
    7,185.97x = 10,770.98 × 3,024.74
  4. Step 4: Simplify right side
    7,185.97x = 32,579,425.85
  5. Step 5: Solve for x
    x = 32,579,425.85/7,185.97
  6. Step 6: Final answer
    x = 4,533.76

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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.