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Finding the Fourth Proportional to 9,770.70, 14,655.93 and 2,375.14

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Solution

The fourth proportional to 9,770.70, 14,655.93 and 2,375.14 is: 3,562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.70 : 14,655.93 = 2,375.14 : x
  2. Step 2: Convert to fraction form
    9,770.70/14,655.93 = 2,375.14/x
  3. Step 3: Cross multiply
    9,770.70x = 14,655.93 × 2,375.14
  4. Step 4: Simplify right side
    9,770.70x = 34,809,885.58
  5. Step 5: Solve for x
    x = 34,809,885.58/9,770.70
  6. Step 6: Final answer
    x = 3,562.68

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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.