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Finding the Fourth Proportional to 6,326.71, 9,490.10 and 4,149.23

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Solution

The fourth proportional to 6,326.71, 9,490.10 and 4,149.23 is: 6,223.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.71 : 9,490.10 = 4,149.23 : x
  2. Step 2: Convert to fraction form
    6,326.71/9,490.10 = 4,149.23/x
  3. Step 3: Cross multiply
    6,326.71x = 9,490.10 × 4,149.23
  4. Step 4: Simplify right side
    6,326.71x = 39,376,539.43
  5. Step 5: Solve for x
    x = 39,376,539.43/6,326.71
  6. Step 6: Final answer
    x = 6,223.86

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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.