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Finding the Fourth Proportional to 7,121.22, 9,830.88 and 4,884

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Solution

The fourth proportional to 7,121.22, 9,830.88 and 4,884 is: 6,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.22 : 9,830.88 = 4,884 : x
  2. Step 2: Convert to fraction form
    7,121.22/9,830.88 = 4,884/x
  3. Step 3: Cross multiply
    7,121.22x = 9,830.88 × 4,884
  4. Step 4: Simplify right side
    7,121.22x = 48,014,017.92
  5. Step 5: Solve for x
    x = 48,014,017.92/7,121.22
  6. Step 6: Final answer
    x = 6,742.39

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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.