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Finding the Fourth Proportional to 9,775.68, 14,664.18 and 3,932.31

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Solution

The fourth proportional to 9,775.68, 14,664.18 and 3,932.31 is: 5,898.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.68 : 14,664.18 = 3,932.31 : x
  2. Step 2: Convert to fraction form
    9,775.68/14,664.18 = 3,932.31/x
  3. Step 3: Cross multiply
    9,775.68x = 14,664.18 × 3,932.31
  4. Step 4: Simplify right side
    9,775.68x = 57,664,101.66
  5. Step 5: Solve for x
    x = 57,664,101.66/9,775.68
  6. Step 6: Final answer
    x = 5,898.73

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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.