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Finding the Fourth Proportional to 6,309.70, 9,464.55 and 1,927.15

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Solution

The fourth proportional to 6,309.70, 9,464.55 and 1,927.15 is: 2,890.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.70 : 9,464.55 = 1,927.15 : x
  2. Step 2: Convert to fraction form
    6,309.70/9,464.55 = 1,927.15/x
  3. Step 3: Cross multiply
    6,309.70x = 9,464.55 × 1,927.15
  4. Step 4: Simplify right side
    6,309.70x = 18,239,607.53
  5. Step 5: Solve for x
    x = 18,239,607.53/6,309.70
  6. Step 6: Final answer
    x = 2,890.73

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Similar ratio
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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.