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Finding the Fourth Proportional to 9,773.16, 14,654.28 and 3,197.58

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Solution

The fourth proportional to 9,773.16, 14,654.28 and 3,197.58 is: 4,794.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.16 : 14,654.28 = 3,197.58 : x
  2. Step 2: Convert to fraction form
    9,773.16/14,654.28 = 3,197.58/x
  3. Step 3: Cross multiply
    9,773.16x = 14,654.28 × 3,197.58
  4. Step 4: Simplify right side
    9,773.16x = 46,858,232.64
  5. Step 5: Solve for x
    x = 46,858,232.64/9,773.16
  6. Step 6: Final answer
    x = 4,794.58

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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.