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Finding the Fourth Proportional to 6,070.69, 9,107.07 and 2,784.06

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Solution

The fourth proportional to 6,070.69, 9,107.07 and 2,784.06 is: 4,176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,070.69 : 9,107.07 = 2,784.06 : x
  2. Step 2: Convert to fraction form
    6,070.69/9,107.07 = 2,784.06/x
  3. Step 3: Cross multiply
    6,070.69x = 9,107.07 × 2,784.06
  4. Step 4: Simplify right side
    6,070.69x = 25,354,629.30
  5. Step 5: Solve for x
    x = 25,354,629.30/6,070.69
  6. Step 6: Final answer
    x = 4,176.56

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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.