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Finding the Fourth Proportional to 6,411.50, 9,617.25 and 2,029.30

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Solution

The fourth proportional to 6,411.50, 9,617.25 and 2,029.30 is: 3,043.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.50 : 9,617.25 = 2,029.30 : x
  2. Step 2: Convert to fraction form
    6,411.50/9,617.25 = 2,029.30/x
  3. Step 3: Cross multiply
    6,411.50x = 9,617.25 × 2,029.30
  4. Step 4: Simplify right side
    6,411.50x = 19,516,227.19
  5. Step 5: Solve for x
    x = 19,516,227.19/6,411.50
  6. Step 6: Final answer
    x = 3,043.94

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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.