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Finding the Fourth Proportional to 6,830.55, 9,425.25 and 3,846.51

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Solution

The fourth proportional to 6,830.55, 9,425.25 and 3,846.51 is: 5,307.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.55 : 9,425.25 = 3,846.51 : x
  2. Step 2: Convert to fraction form
    6,830.55/9,425.25 = 3,846.51/x
  3. Step 3: Cross multiply
    6,830.55x = 9,425.25 × 3,846.51
  4. Step 4: Simplify right side
    6,830.55x = 36,254,318.38
  5. Step 5: Solve for x
    x = 36,254,318.38/6,830.55
  6. Step 6: Final answer
    x = 5,307.67

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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.