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Finding the Fourth Proportional to 7,066.66, 10,578.84 and 4,284.86

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Solution

The fourth proportional to 7,066.66, 10,578.84 and 4,284.86 is: 6,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.66 : 10,578.84 = 4,284.86 : x
  2. Step 2: Convert to fraction form
    7,066.66/10,578.84 = 4,284.86/x
  3. Step 3: Cross multiply
    7,066.66x = 10,578.84 × 4,284.86
  4. Step 4: Simplify right side
    7,066.66x = 45,328,848.36
  5. Step 5: Solve for x
    x = 45,328,848.36/7,066.66
  6. Step 6: Final answer
    x = 6,414.47

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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.