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Finding the Fourth Proportional to 7,400.63, 10,214.30 and 4,751.39

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Solution

The fourth proportional to 7,400.63, 10,214.30 and 4,751.39 is: 6,557.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,400.63 : 10,214.30 = 4,751.39 : x
  2. Step 2: Convert to fraction form
    7,400.63/10,214.30 = 4,751.39/x
  3. Step 3: Cross multiply
    7,400.63x = 10,214.30 × 4,751.39
  4. Step 4: Simplify right side
    7,400.63x = 48,532,122.88
  5. Step 5: Solve for x
    x = 48,532,122.88/7,400.63
  6. Step 6: Final answer
    x = 6,557.84

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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.