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Finding the Fourth Proportional to 6,332.31, 9,499.53 and 1,949.67

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Solution

The fourth proportional to 6,332.31, 9,499.53 and 1,949.67 is: 2,924.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.31 : 9,499.53 = 1,949.67 : x
  2. Step 2: Convert to fraction form
    6,332.31/9,499.53 = 1,949.67/x
  3. Step 3: Cross multiply
    6,332.31x = 9,499.53 × 1,949.67
  4. Step 4: Simplify right side
    6,332.31x = 18,520,948.66
  5. Step 5: Solve for x
    x = 18,520,948.66/6,332.31
  6. Step 6: Final answer
    x = 2,924.83

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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.