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Finding the Fourth Proportional to 6,442.63, 9,664.16 and 3,064.71

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Solution

The fourth proportional to 6,442.63, 9,664.16 and 3,064.71 is: 4,597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.63 : 9,664.16 = 3,064.71 : x
  2. Step 2: Convert to fraction form
    6,442.63/9,664.16 = 3,064.71/x
  3. Step 3: Cross multiply
    6,442.63x = 9,664.16 × 3,064.71
  4. Step 4: Simplify right side
    6,442.63x = 29,617,847.79
  5. Step 5: Solve for x
    x = 29,617,847.79/6,442.63
  6. Step 6: Final answer
    x = 4,597.17

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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.