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Finding the Fourth Proportional to 6,159.46, 9,238.08 and 1,775.84

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Solution

The fourth proportional to 6,159.46, 9,238.08 and 1,775.84 is: 2,663.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.46 : 9,238.08 = 1,775.84 : x
  2. Step 2: Convert to fraction form
    6,159.46/9,238.08 = 1,775.84/x
  3. Step 3: Cross multiply
    6,159.46x = 9,238.08 × 1,775.84
  4. Step 4: Simplify right side
    6,159.46x = 16,405,351.99
  5. Step 5: Solve for x
    x = 16,405,351.99/6,159.46
  6. Step 6: Final answer
    x = 2,663.44

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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.