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Finding the Fourth Proportional to 10,584.66, 14,594.84 and 6,751.17

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Solution

The fourth proportional to 10,584.66, 14,594.84 and 6,751.17 is: 9,308.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.66 : 14,594.84 = 6,751.17 : x
  2. Step 2: Convert to fraction form
    10,584.66/14,594.84 = 6,751.17/x
  3. Step 3: Cross multiply
    10,584.66x = 14,594.84 × 6,751.17
  4. Step 4: Simplify right side
    10,584.66x = 98,532,245.96
  5. Step 5: Solve for x
    x = 98,532,245.96/10,584.66
  6. Step 6: Final answer
    x = 9,308.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.