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Finding the Fourth Proportional to 17,728.74, 24,464.31 and 9,771

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Solution

The fourth proportional to 17,728.74, 24,464.31 and 9,771 is: 13,483.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728.74 : 24,464.31 = 9,771 : x
  2. Step 2: Convert to fraction form
    17,728.74/24,464.31 = 9,771/x
  3. Step 3: Cross multiply
    17,728.74x = 24,464.31 × 9,771
  4. Step 4: Simplify right side
    17,728.74x = 239,040,773.01
  5. Step 5: Solve for x
    x = 239,040,773.01/17,728.74
  6. Step 6: Final answer
    x = 13,483.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.