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Finding the Fourth Proportional to 6,493.38, 9,740.64 and 4,759.95

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Solution

The fourth proportional to 6,493.38, 9,740.64 and 4,759.95 is: 7,140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.38 : 9,740.64 = 4,759.95 : x
  2. Step 2: Convert to fraction form
    6,493.38/9,740.64 = 4,759.95/x
  3. Step 3: Cross multiply
    6,493.38x = 9,740.64 × 4,759.95
  4. Step 4: Simplify right side
    6,493.38x = 46,364,959.37
  5. Step 5: Solve for x
    x = 46,364,959.37/6,493.38
  6. Step 6: Final answer
    x = 7,140.34

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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.