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Finding the Fourth Proportional to 6,606.42, 9,901.08 and 5,040.65

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Solution

The fourth proportional to 6,606.42, 9,901.08 and 5,040.65 is: 7,554.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,606.42 : 9,901.08 = 5,040.65 : x
  2. Step 2: Convert to fraction form
    6,606.42/9,901.08 = 5,040.65/x
  3. Step 3: Cross multiply
    6,606.42x = 9,901.08 × 5,040.65
  4. Step 4: Simplify right side
    6,606.42x = 49,907,829.40
  5. Step 5: Solve for x
    x = 49,907,829.40/6,606.42
  6. Step 6: Final answer
    x = 7,554.44

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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.