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Finding the Fourth Proportional to 6,505.08, 9,751.14 and 3,728.40

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Solution

The fourth proportional to 6,505.08, 9,751.14 and 3,728.40 is: 5,588.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.08 : 9,751.14 = 3,728.40 : x
  2. Step 2: Convert to fraction form
    6,505.08/9,751.14 = 3,728.40/x
  3. Step 3: Cross multiply
    6,505.08x = 9,751.14 × 3,728.40
  4. Step 4: Simplify right side
    6,505.08x = 36,356,150.38
  5. Step 5: Solve for x
    x = 36,356,150.38/6,505.08
  6. Step 6: Final answer
    x = 5,588.89

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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.