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Finding the Fourth Proportional to 6,482.64, 9,716.44 and 2,779.28

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Solution

The fourth proportional to 6,482.64, 9,716.44 and 2,779.28 is: 4,165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.64 : 9,716.44 = 2,779.28 : x
  2. Step 2: Convert to fraction form
    6,482.64/9,716.44 = 2,779.28/x
  3. Step 3: Cross multiply
    6,482.64x = 9,716.44 × 2,779.28
  4. Step 4: Simplify right side
    6,482.64x = 27,004,707.36
  5. Step 5: Solve for x
    x = 27,004,707.36/6,482.64
  6. Step 6: Final answer
    x = 4,165.70

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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.