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Finding the Fourth Proportional to 6,574.64, 9,860.72 and 3,063.68

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Solution

The fourth proportional to 6,574.64, 9,860.72 and 3,063.68 is: 4,594.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.64 : 9,860.72 = 3,063.68 : x
  2. Step 2: Convert to fraction form
    6,574.64/9,860.72 = 3,063.68/x
  3. Step 3: Cross multiply
    6,574.64x = 9,860.72 × 3,063.68
  4. Step 4: Simplify right side
    6,574.64x = 30,210,090.65
  5. Step 5: Solve for x
    x = 30,210,090.65/6,574.64
  6. Step 6: Final answer
    x = 4,594.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.