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Finding the Fourth Proportional to 6,309.49, 9,465.15 and 1,926.38

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Solution

The fourth proportional to 6,309.49, 9,465.15 and 1,926.38 is: 2,889.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.49 : 9,465.15 = 1,926.38 : x
  2. Step 2: Convert to fraction form
    6,309.49/9,465.15 = 1,926.38/x
  3. Step 3: Cross multiply
    6,309.49x = 9,465.15 × 1,926.38
  4. Step 4: Simplify right side
    6,309.49x = 18,233,475.66
  5. Step 5: Solve for x
    x = 18,233,475.66/6,309.49
  6. Step 6: Final answer
    x = 2,889.85

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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.