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Finding the Fourth Proportional to 9,770.42, 14,658.37 and 3,201.22

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Solution

The fourth proportional to 9,770.42, 14,658.37 and 3,201.22 is: 4,802.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.42 : 14,658.37 = 3,201.22 : x
  2. Step 2: Convert to fraction form
    9,770.42/14,658.37 = 3,201.22/x
  3. Step 3: Cross multiply
    9,770.42x = 14,658.37 × 3,201.22
  4. Step 4: Simplify right side
    9,770.42x = 46,924,677.53
  5. Step 5: Solve for x
    x = 46,924,677.53/9,770.42
  6. Step 6: Final answer
    x = 4,802.73

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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.