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Finding the Fourth Proportional to 6,594.96, 9,888 and 2,211.24

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Solution

The fourth proportional to 6,594.96, 9,888 and 2,211.24 is: 3,315.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.96 : 9,888 = 2,211.24 : x
  2. Step 2: Convert to fraction form
    6,594.96/9,888 = 2,211.24/x
  3. Step 3: Cross multiply
    6,594.96x = 9,888 × 2,211.24
  4. Step 4: Simplify right side
    6,594.96x = 21,864,741.12
  5. Step 5: Solve for x
    x = 21,864,741.12/6,594.96
  6. Step 6: Final answer
    x = 3,315.37

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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.