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Finding the Fourth Proportional to 6,860.04, 9,466.80 and 4,765.38

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Solution

The fourth proportional to 6,860.04, 9,466.80 and 4,765.38 is: 6,576.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860.04 : 9,466.80 = 4,765.38 : x
  2. Step 2: Convert to fraction form
    6,860.04/9,466.80 = 4,765.38/x
  3. Step 3: Cross multiply
    6,860.04x = 9,466.80 × 4,765.38
  4. Step 4: Simplify right side
    6,860.04x = 45,112,899.38
  5. Step 5: Solve for x
    x = 45,112,899.38/6,860.04
  6. Step 6: Final answer
    x = 6,576.19

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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.