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Finding the Fourth Proportional to 6,503.46, 9,751.14 and 2,803.65

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Solution

The fourth proportional to 6,503.46, 9,751.14 and 2,803.65 is: 4,203.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.46 : 9,751.14 = 2,803.65 : x
  2. Step 2: Convert to fraction form
    6,503.46/9,751.14 = 2,803.65/x
  3. Step 3: Cross multiply
    6,503.46x = 9,751.14 × 2,803.65
  4. Step 4: Simplify right side
    6,503.46x = 27,338,783.66
  5. Step 5: Solve for x
    x = 27,338,783.66/6,503.46
  6. Step 6: Final answer
    x = 4,203.73

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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.