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Finding the Fourth Proportional to 6,391.52, 9,588.08 and 1,774.52

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Solution

The fourth proportional to 6,391.52, 9,588.08 and 1,774.52 is: 2,662.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.52 : 9,588.08 = 1,774.52 : x
  2. Step 2: Convert to fraction form
    6,391.52/9,588.08 = 1,774.52/x
  3. Step 3: Cross multiply
    6,391.52x = 9,588.08 × 1,774.52
  4. Step 4: Simplify right side
    6,391.52x = 17,014,239.72
  5. Step 5: Solve for x
    x = 17,014,239.72/6,391.52
  6. Step 6: Final answer
    x = 2,662.00

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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.