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Finding the Fourth Proportional to 6,005.52, 9,009.40 and 1,845.44

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Solution

The fourth proportional to 6,005.52, 9,009.40 and 1,845.44 is: 2,768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.52 : 9,009.40 = 1,845.44 : x
  2. Step 2: Convert to fraction form
    6,005.52/9,009.40 = 1,845.44/x
  3. Step 3: Cross multiply
    6,005.52x = 9,009.40 × 1,845.44
  4. Step 4: Simplify right side
    6,005.52x = 16,626,307.14
  5. Step 5: Solve for x
    x = 16,626,307.14/6,005.52
  6. Step 6: Final answer
    x = 2,768.50

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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.