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Finding the Fourth Proportional to 6,482.18, 9,720.84 and 3,017

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Solution

The fourth proportional to 6,482.18, 9,720.84 and 3,017 is: 4,524.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.18 : 9,720.84 = 3,017 : x
  2. Step 2: Convert to fraction form
    6,482.18/9,720.84 = 3,017/x
  3. Step 3: Cross multiply
    6,482.18x = 9,720.84 × 3,017
  4. Step 4: Simplify right side
    6,482.18x = 29,327,774.28
  5. Step 5: Solve for x
    x = 29,327,774.28/6,482.18
  6. Step 6: Final answer
    x = 4,524.37

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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.