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Finding the Fourth Proportional to 6,354.72, 9,533.76 and 3,070.56

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Solution

The fourth proportional to 6,354.72, 9,533.76 and 3,070.56 is: 4,606.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.72 : 9,533.76 = 3,070.56 : x
  2. Step 2: Convert to fraction form
    6,354.72/9,533.76 = 3,070.56/x
  3. Step 3: Cross multiply
    6,354.72x = 9,533.76 × 3,070.56
  4. Step 4: Simplify right side
    6,354.72x = 29,273,982.11
  5. Step 5: Solve for x
    x = 29,273,982.11/6,354.72
  6. Step 6: Final answer
    x = 4,606.65

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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.