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Finding the Fourth Proportional to 6,482.56, 9,726.15 and 3,197.99

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Solution

The fourth proportional to 6,482.56, 9,726.15 and 3,197.99 is: 4,798.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.56 : 9,726.15 = 3,197.99 : x
  2. Step 2: Convert to fraction form
    6,482.56/9,726.15 = 3,197.99/x
  3. Step 3: Cross multiply
    6,482.56x = 9,726.15 × 3,197.99
  4. Step 4: Simplify right side
    6,482.56x = 31,104,130.44
  5. Step 5: Solve for x
    x = 31,104,130.44/6,482.56
  6. Step 6: Final answer
    x = 4,798.12

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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.